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PREFACE  TO  SECOND  EDITION. 


-M 


With  the  exception  of  three  sections  of  Table  II,  the  present 
“dition  embodies  all  of  the  matter  given  in  the  first  volume, 
welve  new  tables  of  moments  of  inertia  and  squares  of  radii  of 
;yration  have  been  added,  and  the  others  have  been  extended  so 
that  the  total  number  of  sections  has  been  increased  from  about 
300  to  1,900. 

The  statement  in  preface  of  first  edition  that  “ the  centers  of 
gravity  of  each  group  are  found  at  the  same  distance  above  the 
center  of  the  web”  will  apply  only  to  the  last  four  tables  of  the 
present  edition. 

The  table  of  values  for  will  much  facilitate  the  use  of  any 
r2 

form  of  Gordon’s  Formula,  and  particularly  those  given  in  this 
work.  The  arrangement  of  these  tables  for  use  of  lengths  of 
columns  in  feet,  will,  it  is  believed,  meet  with  approval. 

The  table  of  square  roots  has  been  added  principally  for  the 
benefit  of  the  advocates  and  users  of  the  straight  line  formula, 
and  may  be  used  to  obtained  the  value  of  r from  the  tables,  or 
1 2 

the  value  of  T±_  may  be  first  obtained,  and  then  the  square  root 
extracted,  giving  the  value  of 

r 


Pittsburgh,  Jan.,  1889. 


F.  C.  O. 


6>26>t 

05  iZ 


\J 


Engineering 

PREFACE. 


The  aim  of  the  author  of  the  present  work  has  been  to  supply, 
partially  at  least,  a need  felt  by  engineers  and  draughtsmen  en- 
gaged in  structural  work  in  iron  and  steel. 

The  handbooks  of  our  manufacturers  are  all  quite  complete 
far  as  the  properties  of  their  particular  shapes  are  concernec 
but  there  is  believed  to  be  no  work  published,  containing  a coF 
lection  of  built  sections  of  the  forms  in  general  use  at  the  present^ 
time. 

All  of  the  sections  given,  are  what  are  known  as  “ open  sec- 
tions,” being  accessible  for  examination  and  painting;  a condi- 
tion required  by  the  majority  of  specifications 


There  will  be  found  a number  of  sections  which  do  not  comply 
with  the  quite  common  specification  that  “the  unsupported  width 
of  any  plate  subjected  to  compresssion,  shall  not  exceed  thirty 
times  its  thickness,”  the  designer  to  use  his  discretion  as  to  when 
these  sections  are  admissible. 


It  is  to  be  noticed  that  the  sections  in  each  group  are  so  pro- 
portioned that  their  centers  of  gravity  are  found  at  the  same  dis- 
tance^above  the  center  of  the  web. 


There  are  no  interpolations  in  any  of  the  tables,  each  value 
having  been  calculated  and  checked  independently,  and  the  fig- 
ures given,  may  be  relied  upon  as  accurate. 

F.  C.  O. 

Pittsburgh,  Feb.,  1886. 





■* 


TABLES 

MOMENTS  OF  INERTIA 


AND 


Squares  of  Radii  of  Gyration; 


SUPPLEMENTED  BY  OTHERS  ON 


THE  ULTIMATE  AND  SAFE  STHENCxTH 


OF 


/. 


TRENH 


/ 


WROUGHT  IRON  COLUMNS 


BY 

FRANK  C.  OSBORN,  C.  E. 

M.  AM.  SOC.  C.  E. 


smber  of  the  firm  of  G.  W.  G Ferris  8c  Co.,  Civil  Engineers,  Inspect- 
ors of  Structural  Iron  and  Steel : and  of  the  firm  Robert  W. 

Hunt  8c  Co.,  Bureau  of  Inspection,  Tests 
• and  Consultation. 


SECOND  EDITION. 


PUBLISHED  BY  ENGINEERING  NEWS  PUBLISHING  CO., 


BUILDING, 


J 


EW  YORK  CITY. 

889. 


TRIBUNE 


Entered  according  to  Act  of  Congress,  in  the  year  1889,  by 
FRANK  C.  OSBORN, 

In  the  office  of  the  Librarian  of  Congress,  at  Washington. 


< 


Stevenson  & foster, 

Printers,  Engravers  and  Electrotypers, 
Wood  St  , Pittsburgh,  Pa. 


CONTENTS. 

Page. 

Explanation,  ........ 

7-1 1 

Moments  of  Inertia,  Rectangles,  .... 

12-13 

Squares  of  Radii  of  Gyration,  Two  Angles, 

14 

“ “ “ Four  Angles,  . 

15 

Moments  of  Inertia  and  Squares  of  Radii  of  Gyration  : 

Four  Angles  and  One  Web  Plate,  . . . . 

16-19 

Two  Plates  and  One  Separating  Channel, 

20-25 

Two  Channels  and  One  Top  Plate, 

26-27 

Two  Channels  and  One  Separating  I Beam,  , 

28-32 

Three  I Beams,  ....... 

33 

One  Web  Plate  and  Two  Angles, 

34-37 

One  Web  Plate,  Two  Angles  and  Top  Plate, 

38-39 

Two  Web  Plates,  “ “ “ “ “ 

40-41 

Two  Web  Plates  and  Four  Angles, 

42-53 

Two  Web  Plates,  Two  Side  Plates  and  Four  Angles, 

54-55 

Two  Web  Plates,  Four  Angles  and  Top  Plate, 

56-63 

Two  Web  Plates,  Four  Angles,  Top  Plate  and  Ver- 

tical  Flange  Plates,  . 

64-65 

Two  Web  Plates,  Four  Angles,  Top  Plate  and  Hori- 

zontal  Flange  Plates,  ..... 

66-67 

Three  Web  Plates,  Eight  Angles  and  Top  Plate,  . 

68-69 

Values  of 

70-80 

r 2 

Ultimate  Strength  of  Wrought  Iron  Columns, 

81-83 

<<  « a « 

84-86 

U It  i.  U it  , 

87-89 

Safe  Strength  per  Square  Inch  of 

Two  Channels  Latticed,  Two  Square  Ends, 

90-91 

“ “ “ Pin  and  Square, 

92-93 

“ “ “ Two  Pin  Ends, 

94-95 

Table  of  Square  Roots,  ...... 

96-103 

Bending  Moments  for  Various  Loads  and  Spans,  . 

104 

Capacity  of  Timber  Beams,  .... 

[05-107 

Conventional  Signs  for  Bridge  Rivets, 

[08-109 
■ — 

5 


EXPLANATION. 


The  shapes  used  in  the  following  tables  are  those  manufactured 
by  the  firm  of  Carnegie  Bros.-  & Co  , Limited,  Pittsburgh,  Pa. 
The  moments  of  inertia  of  sections  made  up  of  plates  and  angles, 
or  of  angles  only,  will  not,  however,  vary  materially  for  shapes 
of  same  size  and  weight  made  by  other  manufacturers. 

Sections  made  up  of  channels  and  I beams  will  vary  some- 
what in  moment  of  inertia,  as  there  is  less  uniformity  in  these 
shapes,  as  made  by  different  manufacturers,  than  in  angle  irons. 

In  all  cases  calculations  have  been  based  on  the  gross  area, 
and  if  it  is  desired  to  use  the  sections  as  beams  to  resist  direct 
bending  due  allowance  should  be  made  for  loss  of  section  from 
rivet  holes  in  tension  flanges. 

In  general  when  angles  with  unequal  legs  are  used,  the  shorter 
leg  is  placed  against  the  web.  An  exception  to  this  rule  occurs 
in  sections  155  to  173  inclusive,  on  page  63.  In  these  sections 
the  4//x6//  angles  have  the  long  leg  against  the  web.  Atten- 
tion is  called  to  another  feature  of  these  sections,  which  is,  that 
the  center  of  gravity  just  bisects  the  space  on  the  web  between 
the  top  and  bottom  angles,  and  therefore  when  the  pin  is  placed 
in  the  center  of  gravity,  of  the  section,  as  it  usually  should  be, 
it  will  also  be  in  the  center  of  the  pin  plate;  any  strain,  then, 
which  is  transferred  from  the  pin  plate  to  the  column  will  be 
transferred  symmetrically.  Another  advantage  in  having  the 
center  of  gravity  in  this  particular  position  is,  that  in  case  it  is 
desired  to  increase  the  sections  as  given  in  the  table,  it  may  be 
done  by  adding  side  plates  and  without  disturbing  the  position 
of  the  center  of  gravity. 

The  following  example  will  illustrate  the  general  method  pur- 
sued in  obtaining  the  moment  of  inertia  and  square  of  radius  of 
gyration  for  sections  composed  of  two  plates  and  four  angles 
riveted  as  shown  on  page  43  : 


2 plates  12X/4=0.00  8(1-  ins* 
4 angles  2^X3-  4.4  lbs.=5.28 


12X  122=  72.00 
X 5.34  2=150,56 
4X0.74  2.96 


Total,  11.28  sq.  ins. 


225.52-f- 11.28=l9.99=r  2 . 


7 


The  moment  of  inertia  of  the  plates  being  ^ bdz-=^  Ad 2 
in  which  /;=rbreadth,  </=depth,  and  A the  area  of  the  plates, 
and  the  moment  of  inertia  of  each  angle  being  ad2-\-i , when 
a equals  the  area  of  the  angle,  d the  distance  of  its  center  of 
gravity  from  the  neutral  axis,  and  i,  its  moment  of  inertia  about  an 
axis  through  its  own  center  of  gravity  perpendicular  to  the  web 
In  the  above  example,  5.34  inches  is  the  distance  from  center  of 
gravity  of  angle  to  center  of  web,  and  0.74  is  the  moment  of  inertia 
of  one  angle,  about  an  axis  through  its  center  of  gravity,  as  given 
in  Carnegie’s  Pocket  Companion  The  area  of  each  angle  is 
found  from  the  weight  per  foot,  by  multiplying  the  latter  by  .3. 

For  trough-shaped  sections  it  is  convenient  to  first  determine 
the  position  of  the  center  of  gravity,  which  is  done  as  follows : 
Multiply  the  area  of  the  top  plate,  top  angles,  webs  and  bottom 
angles,  each  by  the  distance  of  its  center  of  gravity  from  the 
lower  edge  of  web.  Divide  the  sum  of  these  products  by  the 
total  area  of  the  section,  and  the  result  will  be  the  distance  of 
the  center  of  gravity  above  the  lower  edge  of  web: 


sq,  ins. 

Top  plate  15X%=  5.63X1419=  79.89 
2 top  angles  3X3— 5.9  lbs.=  3.54X13.14=  46.52 
2 web  plates  14X%=10.50X  7.00=  73.50 
2 bot.  angs.  3X3— 10.1  lbs  = 6.06  X 0.98=  5.94 


25.73  X 8.00=205.85 
7.00 


5.63X7.192=291.05 
3.54X0.142=133.46 
10.50-i-l  2 X 14  2 =171.50 
6.06X6.022=219.62 
+ 8.51 


824.14 


deduct  25.73 XI. 00 2 


= 25  73 


r 2=798.41 -4-  25.73=31.03. 


1=798.41  ‘ 


Find  the  moment  of  inertia  of  the  section  about  an  axis 
through  the  center  of  the  web,  as  follows : Multiply  the  area 

of  the  top  plate,  top  angles  and  bottom  angles,  each  by  the  square 
of  the  distance  of  its  center  of  gravity  from  the  center  of  web;  add 
to  these  results  the  moment  of  inertia  of  the  webs,  which  may  be 
taken  from  the  table  on  page  13,  and  the  moment  of  inertia  of 
each  angle  about  an  axis  through  its  center  of  gravity.  From 
the  result  subtract  the  product  of  the  area  of  the  section  by  the 


8 


square  of  the  distance  from  the  neutral  axis  to  the  center  of  the 
web,  and  the  result  will  be  the  required  moment  of  inertia  of 
the  section  about  an  axis  through  the  center  of  gravity  perpen- 
dicular to  the  web. 

The  moment  of  inertia  of  the  top  plate  about  an  axis  through 
its  center  of  gravity  should,  strictly  speaking,  be  added  to  the 
above,  but  its  value,  in  the  present  instance  is  so  small  that  the 
final  result  is  not  materially  affected. 

A somewhat  easier  method,  especially  when  the  operation  has 
to  be  performed  without  the  aid  of  a slide  rule  is  the  following : 


Top  plate  15 X %—  5.63 X 7.19=40.48 
Top  angles  3X3— 5.9  lbs.=  3.54  X 6.14=21.74 


X 7.19=291.05 
x 6.14=133.46 


Web  plates  14X%=10  50  62.22 

Bot.  angs.  3X3—10.1  lbs  = 6.06  X 6 02=36.48 


25.73  X 1.00=25.74 


deduct  25.73  XI  00  2 


171.50 
X 7.02=219.62 
+ 8.51 


824  14 
= 25.73 


798.41 

This  plan  avoids  the  use  of  squares  in  getting  the  moment  of 
inertia  and  saves  one  multiplication  in  getting  the  position  of  the 
center  of  gravity. 

The  word  eccentricity  is  used  in  the  tables  to  denote  the  dis- 
tance of  the  center  of  gravity  of  the  section  above  the  center  of 
the  web. 

In  the  expression-^ which  may  be  called  a coefficient  of 
eccentricity , T represents  the  area  of  the  top  plate  and  top  angles, 
B the  area  of  the  bottom  angles  and  flange  plates,  if  any  are  used, 
and  A the  total  area  of  the  section.  This  coefficient  is  used  in 
proportioning  for  the  same  eccentricity , sections  similar  to  those 
in  the  tables  but  of  different  ureas. 


Example  : Required  a section  of  53-3°  square  inches,  with 

an  eccentricity  of  I yz  inches  — 

Referring  to  page  6i,  section  124,  we  find  53.03  the  area 

rji  n 

nearest  to  that  required  and  its  coefficient,  .1469:  now  if  = 

A 

.1469, 


9 


we  will  have  T — B=AX  14.69 
and  T-}-B=A — area  of  w 

by  addition  2 T 
and  therefore  T 

B=26.30 — 17.00 


=53.30  X 14.69=  7.83 
3=53.30 — 27.00=26.30 
=34.13 
=17.06 
= 9.24 


17.06 — 13.13=  3.93=area  required  in  top  angles. 

3.93-r-  -6  = 6.6  =lbs.  per  foot  for  each  top  angle. 

9.24-t-  .6  = 15.4=  “ “ “ hot.  angle. 

In  the  calculation  of  these  sections  for  moments  of  inertia 
sideways,  the  distance  out  to  out  of  webs  was  assumed  equal  to 
the  width  of  top  plates,  less  twice  the  nominal  length  of  leg  of 
top  angle. 

The  sections  beginning  with  127,  on  page  61,  and  extending 
to  154,  on  page  63,  are  designed  for  use  in  such  cases  as  top 
chords  which  support  the  floor  directly  and  are,  therefore,  sub- 
jected to  bending  strains  as  well  as  direct  compression. 

The  table  for  two  angles , page  14,  is  based  on  the  assump- 
tion that  the  angles  are  attached  to  each  other  securely  enough  to 
act  as  one  member;  if  the  angles  are  not  so  connected  then  the 
least  value  of  r2  for  oiie  angle  should  be  used,  and  the  column 
considered  as  two  separate  members. 

j 2 

By  means  of  the  table  of  values  of  the  ultimate  strength 
of  any  column  for  which  r2  is  known,  can  be  readily  obtained. 

Example.  Required  the  ultimate  strength  of  a column  18 
feet  long,  square  at  both  ends,  made  up  as  section  22  on  page  57. 

The  value  of  r2  is  33 .0  and  the  area  30.00  square  inches. 

Referring  to  table  of  -=L_,  look  down  the  column  headed  r2 
until  we  come  to  33.0 ; then  in  the  same  horizontal  line,  under 
18,  find  10  for  the  value  of  ; referring  now  to  the  tables  of 
ultimate  strength,  say  that  on  page  84  we  find  opposite  10  the 
ultimate  strength  per  square  inch  of  38462  lbs.  The  total  ulti- 
timate  strength  of  the  column  will  then  be — 

38462X30=1153860  lbs. 

The  safe  strength  will  be  one-fourth  or  one-fifth  of  this 
amount,  depending  upon  the  character  of  the  load  to  be  sus- 
tained. 


■* 


10 


* 

The  tables  on  the  safe  strength  of  two  channels,  latticed,  will 
greatly  facilitate  the  work  of  proportioning  such  sections,  giving, 
as  it  does,  the  allowable  strain  per  square  inch  for  channels  of 
five  to  fifteen  inches  depth,  and  column  lengths  of  ten  to  forty 
feet.  The  total  safe  strength  of  column,  given  in  thousands  of 
pounds,  (in  small  figures  above  the  strain  per  square  inch)  ena- 
bles the  designer  to  select,  not  only  the  channels  that  will  answer 
his  purpose,  but  at  the  same  time  the  ones  that  will  be  most 
economical  in  material. 

The  use  of  the  tables  of  bending  moments  and  capacity  of 
timber  beams  will  be,  perhaps,  best  illustrated  by  the  following : 

Example.  Required  the  size  of  joist  to  support  a load  of 
ioo  lbs.  per  square  foot,  the  length  of  span  being  18  feet  and 
the  greatest  allowable  strain  iooo  lbs.  per  square  inch. 

Assume  the  weight  of  joists  and  flooring  to  be  20  lbs.  per 
square  foot. 

From  the  table  of  bending  moments  we  find  for — 

20  lbs.  per  square  foot  and  18  foot  span,  1G20  foot  lbs. 

For  100  “ • “ “ 18  “ 8100  “ 

Total  bending  moment=9720  w 

Referring  now  to  the  table  of  capacities  for  1000  lbs.  fiber 
strain  we  find  that  3//Xi6//,  3j4//Xi5//  or  4//X^4//  will 
answer  the  purpose,  the  3r/X  i6r/  being  the  most  economical  in 
material . 


11 


rr — — 

MOMENTS  OP  INERTIA.  | 

RECTANGLES. 

Depth 

Width  of  Rectangle  in  Inches. 

in 

Inches. 

5 

T(T 

tV 

X 

16 

H 

3 

0.56 

0.70 

0.84 

0.98 

1.13 

1.27 

1.41 

4 

1.33 

1.67 

2.00 

2.33 

2.67 

3.00 

3.33 

5 

2.60 

3.26 

3.91 

4.56 

5.21 

5.86 

6.51 

6 

4.50 

5.63 

6.75 

7.88 

9.00 

10.13 

11.25 

7 

7.15 

8.93 

10.72 

12.51 

14.29 

16.08 

17.86 

8 

10.67 

13.33 

16.00 

18.67 

21.33 

24.00 

26.67 

9 

15.19 

18.98 

22.78 

26.58 

30.38 

34.17 

37.97 

10 

20.83 

26.04 

31.25 

36.46 

41.67 

46.87 

52.08 

12 

36.00 

45.00 

54.00 

63.00 

72.00 

81.00 

90.00 

13 

45.77 

57.21 

68.66 

80.10 

91.54 

102.98 

114.43 

14 

57.17 

71.46 

85.75 

100.04 

114.33 

128.63 

142.92 

15 

70.31 

87.89 

105.47 

123.05 

140.63 

158.20 

175.78 

16 

85.33 

106.67 

128.00 

149.33 

170.67 

192.00 

213.33 

17 

102.35 

127.94 

153.53 

179.12 

204.71 

230.30 

255.89 

18 

121.50 

151.88 

182.25 

212.63 

243.00 

273.38 

303.75 

20 

166.67 

208.33 

250.00 

291.67 

333.33 

375.00 

416.67 

21 

192.94 

241.17 

289.41 

337.64 

385.88 

434.11 

482.34 

22 

221.83 

277.29 

332.75 

388.21 

443.67 

499.13 

554.58 

23 

253.48 

316.85 

380.22 

443.59 

506.96 

570.33 

633.70 

24 

288.00 

360.00 

432.00 

504.00 

576.00 

648.00 

720.00 

25 

325.52 

406.90 

488.28 

569.66 

651.04 

732.42 

813.80 

26 

366.17 

457.71 

549.25 

640.79 

732.33 

823.88 

915.42 

27 

410.06 

512.58 

615.09 

717.61 

820.13 

922.64 

1025.16 

28 

457.33 

571.67 

686.00 

800.33 

914.67 

1029.00 

1143.33 

29 

508.10 

635.13 

762.16 

889.18 

1016.21 

1143.23 

1270.26 

30 

562.50 

703.13 

843.75 

984.38 

1125.00 

1265.63 

1406.25 

32 

682.67 

853.33 

1024.00 

1194.67 

1365.33 

1536.00 

1706.67 

34 

818.83 

1023.54 

1228.25 

1432.96 

1637.67 

1842.38 

2047.08 

36 

972.00 

1215.00 

1458.00 

1701.00 

1944.00 

2187.00 

2430.00 

38 

1143.17 

1428.96 

1714.75 

2000.54 

2286.33 

2572.13 

2857.92 

40 

1333.33 

1666.67 

2000.00 

2333.33 

2666.67 

3000.00 

3333.33 

44 

1774.67 

2218.33 

2662.00 

3105.67 

3549.33 

3993.00 

4436.67 

46 

2027.83 

2534.79 

3041.75 

3548.71 

4055.67 

4562.63 

5069.58 

48 

2304.00 

2880.00 

3456.00 

4032.00 

4608.00 

5184.00 

5760.00 

50 

2604.17 

3255.21 

3906.25 

4557.29 

5208.33 

5859.38 

6510.42 

60 

* 

4500.00 

5625.00 

1 6750.00 

7875.00 

9000.00 

10125.00 

11250.00 

* 

12 


* 


MOMENTS  OP  INERTIA.  | RECTANGLES. 


Width  of  Rectangle  in  Inches. 

Depth 

1 1 

H 

13 
1 6 

n 

1 5 
1 6 

1 

1X1 

Inches. 

1.55 

1.69 

1.83 

1.97 

2.11 

2.25 

3 

3.67 

4.00 

4.33 

4.67 

5.00 

5.33 

4 

7.16 

7.81 

8.46 

9.11 

9.77 

10.42 

5 

12.38 

13.50 

14.63 

15.75 

16.88 

18.00 

6 

19.65 

21.44 

23.22 

25.01 

26.80 

28.58 

7 

29.33 

32.00 

34.67 

37.33 

40.00 

42.67 

8 

41.77 

45.56 

49.36 

53.16 

56.95 

60.75 

9 

57.29 

62.50 

67.71 

72.92 

78.13 

83.33 

10 

99.00 

108.00 

117.00 

126.00 

135.00 

144.00 

12 

125.87 

137.31 

148.75 

160.20 

171.64 

183.08 

13 

157.21 

171.50 

185.79 

200.08 

214.38 

228.67 

14 

193.36 

210.94 

228.52 

246.09 

263.67 

281.25 

15 

234.67 

256.00 

277.33 

298.67 

320.00 

341.33 

16 

281.47 

307.06 

332.65 

358.24 

383.83 

409  42 

17 

334.13 

364.50 

394.88 

425.25 

455.63 

486.00 

18 

458.33 

500.00 

541.67 

583.33 

625.00 

666.67 

20 

530.58 

578.81 

627  05 

675.28 

723.52 

771.75 

21 

610.04 

665.50 

720.96 

776.42 

831.87 

887.33 

22 

697.07 

760.44 

823.81 

887.18 

950.55 

1013.92 

23 

792.00 

864.00 

936.00 

1008.00 

1080.00 

1152.00 

24 

895.18 

976.56 

1057.94 

1139.32 

1220.70 

1302.08 

25 

1006.96 

1098.50 

1190.04 

1281.58 

1373.13 

1464.67 

26 

1127.67 

1230.19 

1332.70 

1435.22 

1537.73 

1640.25 

27 

1257.67 

1372.00 

1486.33 

1600.67 

1715.00 

1829.33 

28 

1397.29 

1524.31 

1651.34 

1778.36 

1905.39 

2032.42 

29 

1546.88 

1687.50 

1828.13 

1968.75 

2109.38 

2250.00 

30 

1877.33 

2048.00 

2218.67 

2389.33 

2560.00 

2730.67 

32 

2251.79 

2456.50 

2661.21 

2865.92 

3070.63 

3275.33 

34 

2673.00 

2916.00 

3159.00 

3402.00 

3645.00 

3888.00 

36 

3143.71 

3429.50 

3715.29 

4001.08 

4286.88 

4572.67 

38 

3666.67 

4000.00 

4333.33 

4666.67 

5000.00 

5333.33 

40 

4880.33 

5324.00 

5767.67 

6211.33 

6655.00 

7098.67 

44 

5576.54 

6083.50 

6590.46 

7097.42 

7604.38 

8111.33 

46 

6336.00 

6912.00 

7488.00 

8064.00 

8640.00 

9216.00 

48 

7161.46 

7812.50 

8463.54 

9114.58 

9765.63 

10416.67 

50 

12375.00 

► ^ 

13500.00 

14625.00 

15750.00 

16875.00 

18000.00 

60 

13 


TWO  Id  ANGLES 


O 

W 

3 


Cl 

Cl 


CD  LO  rH  rH  rH  CO 
LO  CO  LO  Cl  CO  rH 
CO  CO  rtf  rH  10  LO 


OONCOOO  COrH^COrHl- 
GO  l>  LO  Cl  O rH  rH  Cl  CD  Cl  O OS 
rj>  rH  rH  CD  CD  HO  iOI>CDCDCic6 


d LO  rH  Cl  rH  LO  ^!>HCiCDO  I>  rH  CD  OS  rH  CO 
E>  LO  CD  CO  00  rH  OS  I>  CD  rH  q LO  r-lr-UOrHCp^ 

cicicocorHrH  cococoiorHrH  ^CDioddci 


LO  OS  OS  d CD  rH  HIOOhOIO  rH  OS  t>  rH  CO  O 
CO  rH  rH  CS  00  I>  LO  00  Cl  I>  rH  O l>  LO  O I>  p I> 

dcicocicooo  oooocorHrH^  coioiorHosrH 


d CD  O LO  LO  O rH  CD  d LQ  rH  CO  rH  O rH  I>  CD  rH 
O CO  00  lO  rH  00  ^ O)  00  Cl  O Cp  CO  rH  p Cl  00  O 
odrHcicicoco  cocidrHrHco  coLOrnrHosi-i 


rH  t>  rH  rH  CD  d LO  O I>  00  00  rH  I>  rH  00  CD  t>  LO 
MO^IMOOi  l>  CD  CO  CD  Cl  OS  q rH  00  I>  00 

•HrHcicicoci  ciddoococo  drHrHcoooo 


00  rH  Cl  rH  O I>  rH  GO  CD  CO  LO  OS  CO  Cl  00  00  rH  Cl 

rH  CO  rH  OS  I>  LO  rH  d rH  rH  d 00  CD  Cl  I>  rH  d £> 

.HrHdrHdd  Cl  Cl  Cl  CO  CO  Cl  Cl  rH  CO  CO  00  OS 


OS  l>  d 00  00  LO  O 00  1>  1>  O CD  Cl  Cl  Cl  CO  CO  Cl 

i— l O 00  CD  CO  Cl  rHOSQOpOSiq  CO  00  rH  rH  p rH 

rH  rH  rH  rH  d Cl  ClrHiHCOClCl  d CO  CO  CO  I>  OS 


00  t>  CD  OS  CS  t>  00  Cl  d rH  00  I>  ic  CD  GO  rH  00  uo 

os  oo  lo  co  o p oo t> p £> p ci  p rH  o oo  i-h  lo 

OdrHrHCirH  rH  rH  rH  d d d Cl  00  CO  d 1>  00 


00  00  rH  00  LO  r* 

qi>rHdqao 

d d rH  rH  i— I rH 


d OS  d CD  rH  00 
I>  CD  lO  LO  rH  rH  OS  Cl  OS  CO  OS  Cl 
rHrHrHCiCICi  rH  CO  Cl  d CD  00 


CS  O CO  00  Cl  rH  OS  CS  O rH  O rH  rH  CO  I>  d rH  rH 

I>  I>  CO  H CO  I>  LO  rH  rH  rH  CO  O 00  H I>  LO  I>  o 

OOHrlrlH  r-f  H rH  Cl  Cl  Cl  rH  CO  d d CD  00 


rH  t>  CO  Q CS  CS  00  OS  H I>  rH  GO  OS  CO  O I>  00  rH 

CD  LO  H O LO  ^ 00  Cl  Cl  rH  O I>  LO  00  LO  d d LO 

OdrirHHH  rH  pH  rH  d Cl  <H  H Cl  Cl  Cl  CD  I> 


M.  I rHClOOQOLOOS  CSrHCDrHCDCD  CDt^Ohhh 
-w^iCDpLOOOOOrH  P O LO  Cl  LO  LO  t>  rH  LO  CD  CD  CD 
! OddddrH  rH  Cl  Cl  rH  rH  Cl  00  rH  d CO  CO  CO 


oS  CO 

3 rt1 


OOrHOOOrHd  rH  O 00  rH  d Cl 
rH  ^ os  CD  LO  CD  CS  CO  I>  OS  CO  H 00  L>  rH  00  LO  LO 

ci ci ci ci c6 tH  ^LOLOTtubcD  cd  lo  cd  oo  i-h  co 

rH  Cl 


jaqran^ 


*- 


LO  O OS  rH  OS  I>  CO  OS  LO  CO  OS  Cl  rH  LO  GO  CS  Cl  Cl 
CO  rH  rH  rH  LO  I>  00  CO  OS  00  GO  o r-H  os  d co  OS  OS 

H H H H H CO 


NN  NN  \N  \N  \N 

Cl  00  Cl  CO  CO  CO  rH  rH  LO  00  rH  LO  CD  rH  LO  CD  CD  CD 

xxxxxx  xxxxxx  xxxxxx 

sN  \)N  VN  VN  \N  \N 


Cl  Cl  Cl  Cl  CO  CO  CO  CO  CO  CO  CO  CO  CO  rH  rH  rH  CD  CD 


rH  Cl  CO  rH  LO  CD  I>  00  OS  O rH  Cl  CO  rH  LO  CD  l>  00 


14 


CD 

LU 

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0 

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o -~+- 


a 

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0 

II 


cq 


CDQiOCD 

— I CO  csi  o 

do  oo  a 

CO  CO  CQ  CQ 


I>  CO  (M  »h 
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^ l>  CO  O 
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05  0 O O 
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co  co  to  a 

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cq  to  h cq 

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15 


One  Web 
Plate, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total  Area 
Square 
Inches. 

AXIS  A B, 

AXIS  C D. 

Size  in 
Inches. 

Lbs. 
Per  Ft. 

I 

X*  2 

I | 

r 2 

1 

X 

00 

2%X3 

4.4 

7-28 

72.5 

9.96 

10.3 

1.42 

2 

5.0 

8.00 

80.3 

10  03 

12.1 

1.51 

3 

5.8 

8.96 

90.5 

10.10 

14.4 

1 61 

4 

6.7 

1004 

101.4 

1010 

17.3 

1.72 

5 

7.5 

11.00 

111.1 

1010 

19.8 

1 80 

6 

8.3 

11.96 

119.9 

10.03 

22.7 

1 89 

7 

9.0 

12  80 

127.8 

9.99 

25.1 

1.96 

8 

8X^4 

2%X3 

4.4 

8.28 

77.9 

9.40 

11.1 

1.34 

9 

5.0 

9.00 

85.6 

9.51 

12.9 

1.44 

10 

5.8 

996 

95.8 

9.62 

15.4 

1 55 

11 

67 

11.04 

106.7 

9.67 

18.4 

1.67 

12 

7.5 

12  00 

116.5 

971 

21.1 

1 76 

13 

8.3 

12.96 

125.3 

9.67 

24.1 

1.86 

14 

9.0 

13.80 

133.2 

9.65 

26.7 

194 

15 

9X>+' 

2%X3 

4.4 

7.53 

96.0 

12.75 

10.3 

1.37 

16 

4.8 

801 

103.0 

12.85 

11.5 

1.43 

17 

5.6 

8.97 

116.1 

1294 

13.9 

1.55 

18 

64 

9.93 

129.4 

13.04 

16.3 

1 64 

19 

7.3 

11.01 

143  6 

1304 

19.2 

175 

20 

81 

11.97 

156.3 

13.05 

21.8 

1 82 

21 

9.0 

13.05 

169.6 

13.00 

25.1 

1.92 

22 

9X^ 

2%X3 

44 

8.66 

103.6 

11.97 

11.1 

1.28 

23 

4.7 

9 02 

108.7 

12.06 

12.0 

1.33 

24 

5.5 

9.98 

122.4 

12.27 

14  4 

1.45 

25 

6.4 

11.00 

137.0 

1239 

17.4 

1.58 

26 

7.2 

12.02 

149.4 

12.44 

20.0 

1.67 

27 

8.0 

12.98 

162.1 

12.49 

23.0 

1.77 

28 

8.9 

14.06 

175.6 

12.48 

26.4 

1.88 

29 

9.0 

1418 

177.2 

12.50 

26.8 

1.89 

16 


\ 


* 


! 

FOUR  ANGLES  Cl 

i 

LL 
r a 

j 

■0 

”S 

ONE  PLATE. 

One  Web 
Plate, 

FOUR  ANGLES. 

Total  Area 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Size  in 

Lbs. 

Square 

Inches. 

I 

r 2 

I 

r* 

Inches. 

Per  Ft. 

30 

ioxX 

2%X3 

4.4 

7.78 

1232 

15.84 

103 

1 33 

31 

4.6 

802 

1274 

15  89 

110 

1.37 

32 

5.4 

8 98 

145.0 

16.14 

13.2 

1 47 

33 

6.2 

9 94 

1621 

1631 

156 

1 57 

34 

7.1 

1102 

180.5 

1638 

18.5 

1 68 

35 

7.9 

11  98 

196.1 

16.37 

21.3 

1.78 

36 

8.7 

12  94 

212.2 

16  40 

24.0 

1.85 

37 

9.0 

1330 

217.9 

16  38 

25.1 

1 89 

38 

10X^8 

2%X3 

4.4  1 

9 03 

133.7 

1480 

11.1 

1.23 

39 

5.2 

999 

151.3 

15.14 

13.5 

1 35 

40 

6.0 

! 10.95 

168.0 

15  34 

16.1 

1.47 

41 

6.9 

! 12  03 

186.4 

15  50 

19.2 

159 

42 

7.7 

12  99 

2029 

15  62 

21.9 

1.69 

43 

8.5 

1395 

219.1 

15.70 

24.7 

177 

44 

9.0 

14  55 

228  3 

15  69 

26.8 

1 84 

45 

12X* 

2%X3 

4.4 

8 28 

189.5 

2289 

10.4 

1.25 

46 

5.0 

9.00 

209.3 

23  25 

12  1 

1.34 

47 

5.8 

996 

235.5 

23  65 

14.4 

1.45 

48 

6.7 

11.04 

264.0 

23  92 

17.3 

1.56 

49 

7.5 

! 1200 

289.5 

24.12 

198 

1.65 

50 

83 

12  96 

313.4 

24  18 

22.6  i 

1.75 

51 

9.0 

1380 

334.6 

24  24 

25.1 

1.82 

62 

12X^4 

2%X3 

4.4 

978 

207.5 

2122 

11  1 

1.13 

53 

4.6 

1002 

213.9 

21  35 

11.7 

1.17 

54 

5.4 

1098 

240.5 

2190 

14.2 

1.29 

55 

6.2 

1194 

266.6 

22  32 

16.7 

1 40 

56 

7.1 

1302 

294.8 

22  64 

19.8 

152 

57 

7.9 

1398 

319.0 

2282 

22.7 

1 63 

58 

8.7 

1494 

343  7 

23  01 

25.6 

171 

59 

9.0 

15  30 

352.6 

23.04 

26  8 

175 

* —————— * 


17 


)%4 — — ->£ 


L t J 

POUR  ANGLES  ONE  PLATE. 

Til 


One  Web 
Plate, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total  Area 
Square 
Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs. 
Per  Ft. 

I 

X*  2 

I 

1-2 

60 

14XX 

2%X3 

4.4 

8.78 

272.4 

3102 

10.4 

1.18 

61 

46 

9.02 

281.5 

31  21 

110 

122 

62 

5.4 

998 

318  9 

31  96 

132 

133 

63 

6.2 

1094 

355.9 

32.53 

15.6 

1.43 

64 

7.1 

12  02 

396.1 

32  95 

18  5 

1.54 

65 

7.9 

12  98 

430.8 

33  18 

21.3 

1.64 

66 

87 

13  94 

466  1 

3344 

24.0 

172 

67 

90 

14.30 

478.9 

33.49 

25.1 

1.75 

68 

uxH 

2%X3 

44 

1053 

300  9 

28.58 

11.1 

1 05 

69 

48 

11  01 

319.8 

2905 

12.3 

112 

70 

56 

11  97 

356  3 

29  77 

14.9 

1 24 

71 

6.4 

12  93 

3931 

30  40 

17.4 

135 

72 

7.3 

1401 

433.2 

30  92 

20  5 

1.47 

73 

8.1 

1497 

468  8 

31.32 

23.3 

1.56 

74 

9.0 

1605 

507.5 

31.62 

26.8 

1.67 

75 

15xX 

2^X3 

4.4 

9 03 

320  3 

35  47. 

104 

1.15 

76 

52 

999 

364  1 

36.45 

12  6 

1.26 

77 

6.0 

10  95 

406.5 

3712 

15.1 

1.38 

78 

6.9 

12  03 

453  6 

37.71 

18  0 

149 

79 

77 

12  99 

495.6 

38  15 

20.5 

1 58 

80 

8.5 

13  95 

537  1 

38  50 

23  2 

1.66 

81 

9.0 

14  55 

561.7 

3861 

25.1 

1.72 

82 

15  xx 

2%X3 

44 

10  91 

355.5 

32.60 

11.1 

1.02 

83 

45 

11. 03 

361.2 

32  76 

11.4 

1.03 

84 

5.3 

11  99 

‘404  1 

33  72 

13.9 

1 16 

85 

• 

6.1 

12  95 

447.2 

3455 

16  4 

1 27 

86 

7.0 

1403 

494  4 

35  25 

19.5 

1 39 

87 

7.8 

14  99 

536  3 

35.79 

22.2 

1.48 

88 

8.6 

1595 

576  4 

36.14 

25.3 

1.59 

89 

9.0 

1643 

596.9 

36  34 

26.8 

1.63 

18 


1 

FOUR  ANGLES  C« 

i 

• 

. t j 
■n 

ONE  PLATE. 

One  Web 
Plate, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total  Area 
Square 
Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs. 
Per  Ft. 

I 

X*2 

I 

r 2 

90 

16XX 

2%X3 

4.4 

9.28 

372.8 

40.17 

10.4 

1.12 

91 

5.0 

10.00 

410.3 

4103 

12.1 

1.21 

92 

5.8 

10.96 

460.3 

42  00 

144 

1.32 

93 

6.7 

12.04 

515  0 

42.77 

17.3 

1.44 

94 

7.5 

13  00 

563.7 

43  36 

19.8 

1.52 

95’ 

8.3 

1396 

610.5 

43  74 

22.7 

1.62 

96 

9.0 

1480 

651.7 

44  04 

25.1 

1.70 

97 

16X}4 

2^X3 

4.4 

11  28 

415.5 

36  83 

11.1 

098 

98 

5 0 

12.00 

452.9 

3775 

13.0 

1 08 

99 

5.8 

12.96 

502.9 

3881 

15.4 

1.19 

100 

6.7 

1404 

557- 7 

3972 

18.5 

1.32 

101 

7.5 

15.00 

606.4 

4043 

21.1 

141 

102 

8.3 

15.96 

H53.2 

4093 

24.2 

1 51 

103 

90 

1680 

694.4 

41.33 

26.8 

1.59 

104 

1VXX 

2%X3 

4.4 

953 

429.9 

45  10 

10.4 

1.09 

105 

4.8 

10  01 

458.7 

45  83 

11.5 

1 15 

106 

5.6 

10  97 

515.0 

4695 

13.9 

1 27 

107 

6.4 

11  93 

571.7 

4792 

16.3 

1 37 

108 

7.3 

13.01 

633.7 

4871 

19.2 

1 48 

109 

8.1 

1397 

689.0 

49.32 

21.8 

156 

no 

9.0 

1505 

749.3 

49.79 

25.1 

1.67 

111 

17  X/s 

2/4X3 

4.4 

11  66 

481.0 

4127 

11.1 

095 

112 

4.8 

12  14 

509.9 

42.02 

12.3 

1 01 

113 

5.6 

13.10 

566.2 

4324 

14.9 

1.14 

114 

6.4 

14  06 

623.0 

4432 

17.4 

1.24 

115 

7.3 

15.14 

684  9 

4526 

20.5 

1.36 

116 

8 l 

16.10 

740.2 

4599 

23  3 

145 

117 

- 

9.0 

17.18 

800.4 

46.61 

26.8 

1.56 

19 


** 

I 


— 

Two 
Plates. 
Size  in 
Inches. 

ONE  CHANNEL. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

e.  . 
2>:ze  m 

Inches. 

Lbs.  Per 
Foot. 

I 

r 2 

1 

I 

T 2 

1 

3X  X 

3 

50 

3 00 

6.00 

2.00 

1.44 

0.48 

2 

4 

5.0 

300 

10  48 

3 49 

1.45 

0.48 

3 

5 

6.5 

3 45  j 

17.31 

503 

1.57 

0.45 

4 

3 X i V 

3 

5.0 

338 

7.18 

2 13 

1.72 

0.51 

5 

4 

5.0 

3 38 

12.43 

3.68 

1.73 

0 51 

6 

5 

65 

383 

20.23 

5.29 

1.S5 

0.48 

7 

\oo 

X 

CO 

3 

50 

375 

8.45 

2.25 

2.00 

0.53 

8 

4 

50 

375 

14.48 

3.86 

2.01 

054 

9 

5 

6,5 

420 

23.26 

5 54 

2.13 

051 

10 

3\ 

3 

50 

413 

9.80 

2.38 

2.28 

0.55 

11 

4 

5.0 

4.13 

16.64 

4.03 

2.29 

056 

12 

5 

6.5 

458 

26.41 

5.77 

2.41 

0.53 

13 

3X% 

o 

o 

50 

4 50 

11.23 

2.50 

2.56 

0.57 

14 

4 

50 

4.50 

18.90 

420 

2.57 

0.57 

15 

5 

65 

4.95 

29  69 

6.00 

2 69 

0.54 

16 

4XX 

3 

5.0 

3 50 

7.32 

2.09 

2 98 

085 

17 

4 

5.0 

3 50 

12.74 

364 

2 99 

0.85 

18 

5 

6.5 

3.95 

20.78 

5 26 

3.11 

0 79 

19 

6 

7.5 

4.25 

31.63 

7.44 

3.26 

0.77 

20 

4Xi5ff 

1 o 
O 

50 

4.00 

8.90 

2.22 

3.65 

0 91 

21  1 

i 4 

5.0 

4.00 

15.33 

3.83 

365 

0.91 

22  ! 

! 5 

6 5 

4.45 

24.64 

5.54 

3 77 

0.85 

23 

6 

7 5 

4.75 

37.00 

7.79 

393 

0 83 

24 

4x  y% 

3 

5.0 

4 50 

10.59 

2.35 

4 31 

0.96 

25 

4 

5.0 

4.50 

18.07 

4.02 

4.32 

0 90 

20 

5 

6 5 

4 95 

28.68 

5.79 

4 44 

0 90 

21 

G 

7.5 

525 

42  59 

8.11 

4.60 

0 88 

23 

4 X x'j 

o 

t> 

5 0 

500 

12.38 

2 48 

4.98 

1.00 

29 

4 

5.0 

500 

20.94 

4.19 

4.99 

1.00 

30 

5 

65 

545 

32.87 

603 

5.11 

0 94 

31 

0 

1 7.5 

5.75 

48.37 

841 

! 5.26 

0.92 

20 


■* 


TWO  PLATES.  0 


0 ONE  CHANNEL. 


Two 
Plates. 
Size  in 
Inches. 

ONE  CHANNEL. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r2 

I 

r* 2 

32 

4XX 

3 

5.0 

1 

5.50 

14.29 

260 

5.65 

1 03 

33 

4 

5.0 

5.50 

23.96 

4.38 

5.65 

1 03 

34 

5 

6.5 

5 95 

37.25 

6.26 

5.77 

0.97 

35 

6 

7.5 

6.25 

54.35 

8.70 

5.93  | 

095 

36 

oxX 

4 

5.0 

400 

15.00 

3 75 

! 

5.53  ! 

1.38 

37 

5 

6 5 

445 

24.23 

544 

5.65 

1.27 

38 

6 

7.5 

475 

36.52  j 

769 

5.80 

1 22 

39 

7 

8.5 

505 

51.35 

1017 

5.89  j 

1.17 

40 

5XtV 

4 

5.0 

463 

18.24  ! 

3 94 

6. S3 

1.48 

41 

5 

6 5 

508 

29.0)  1 

572 

6.95 

1.37 

42 

6 j 

7.5 

538 

43.23  1 

804 

7.11 

1 32 

43 

7 

8.5 

568 

60.25 

1062 

7.19  ; 

1 27 

44 

5X^ 

4 

5.0 

5.25 

21.66  ! 

4 13 

8.13 

1 55 

45 

5 

6.5 

5.70 

34.10 

598 

8.25 

145 

46 

6 1 

7.5 

6.00 

50.22 

8.37 

8 41 

140 

47 

7j 

8.5 

630 

69.50 

11.03 

8.49  | 

1.35 

48 

SX-fV 

4 

5.0 

5.88 

25.25 

430 

9.44 

1.61 

49 ; 

5 

6.5 

633 

39.34 

6 22 

9 56 

1.51 

50 

6 

7.5 

6 63 

57.43 

8.67 

9.71 

1.47 

5!  I 

7 

8.5 

6 93 

79.02 

11.41 

9.80 

1.41 

52 

5XX 

4 

5.0 

650 

29.02 

4.46 

10.74 

1.65 

53  1 

5 

6.5 

695 

| 44.81 

645 

1086 

1.56 

54 

6 

7.5 

7.25 

64  91 

895 

11.01 

1.52 

55 

7 • 

8.5 

755 

88.81  ! 

1176 

11.10 

1.47 

56 

j5XT9, 

4 

5.0 

713 

32.98 

463 

12.04 

1.69 

57 

5 

6.5 

7.58 

50.51 

6 67 

12.16 

1.61 

58 

6 

7.5 

7.88 

72.66 

923 

12.31 

1 56 

59 

7 

8.5 

818 

98.92 

12  10 

12.40 

1.52 

60 

5X^ 

' 4 

5.0 

775 

37.13 

4 79 

13.34 

1.72 

61 

! 5 

6.5 

8 20 

56.42 

6 88 

13.46 

1 64 

62 

6 i 

! 7.5 

850 

80.66 

949 

13.62 

160 

63 

r 

7 1 

8.5 

880 

1 109.32 

12.42 

1 13.70 

1.56 

* 


21 


* — — — — 


Two 
Plates. 
Size  in 
Inches. 

ONE  CHANNEL. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

1*2 

I 

r 2 

64 

5 X xf 

4 

5.0 

8.38 

41.48 

495 

1464 

1 75 

65 

5 

6.5 

8.83 

62.60 

7.09 

14.76 

1.67 

66 

6 

7.5 

9.13 

88.98 

9.75 

14.92 

1.63 

67 

7 

8.5 

9.43 

120.08 

12.74 

15.00 

1.59 

68 

5XJ4" 

4 

5.0 

9.00 

46.02 

511 

15.95 

177 

69 

5 

6.5 

9 45 

68.99 

730 

16  07 

] 70 

70 

6 

7.5 

975 

97.53 

1000 

16  22 

1 66 

71 

7 

85 

1005 

131.10 

1304 

16.31 

162 

72 

6xX 

4 

5.0 

450 

17.26 

3.84 

9.32 

207 

73 

5 

6.5 

4 95 

27.67 

5 59 

9 44 

1.91 

74 

6 

7.5 

5 25 

41.40 

7.88 

9.60 

183 

75 

7 

85 

555 

57.92 

10.44 

9.68 

174 

76 

8 

10.0 

6.00 

78.65 

13.11 

988 

1.65 

77 

6Xx5? 

4 

5.0 

525 

21.14 

403 

11.57 

220 

78 

5 

65 

5 70 

33  46 

5.87 

11.69 

2.05 

79 

6 

7.5 

600 

49  45 

8 24 

11.85 

1.97 

80 

7 

8.5 

6 30 

68  63 

1080 

11.93 

1 89 

81 

8 

10.0 

6.75 

92.38 

1368 

12.13 

1.80 

82 

6 X.^i 

4 

5.0 

600 

25.25 

4.21 

13  82 

230 

83 

5 

6.5 

645 

39.51 

613 

13  94 

2- 16 

84 

6 

7.5 

6 75 

57  84 

857 

14.10 

2 09 

85 

7 

8.5 

705 

79  71 

11.31 

14.  >8 

2 01 

86 

8 

10.0 

7.50 

106.53 

1420 

14  38 

1.92 

87 

«x* 

4 

5.0 

6 75 

29.56 

4.38 

16.07 

2.38 

88 

5 

6.5 

7 20 

45.81 

6 36 

16.19 

2.25 

89 

6 

7.5 

7 50 

66.50 

8 87 

16.35 

2.18 

90 

7 

85 

7 80 

91.12 

11.63 

16  43 

2 11 

91 

8 

10.0 

8.25 

121.01 

14.67 

16.63 

2.02 

92 

6XX 

4 

50 

7 50 

34.08 

4.5  4 

18.32 

2 44 

93 

5 

6.5 

7 95 

52.37 

6 59 

18  44 

2.32 

94 

6 

7.5 

8.25 

7547 

9 15 

18.60 

2 25 

95 

1 7 

85 

8 55 

102.87 

12  03 

18.68 

219 

96 

1 8 

10.0 

9 00 

135.95 

1511 

18.88 

210 

* — * 


22 


TWO  PLATES.  G 


D ONE  CHANNEL. 


■* 


Two 
Plates, 
Size  in 
Inches. 

ONE  CHANNEL. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

1*2 

I 

X* 2 

97 

6XA 

4 

5.0 

8 25 

38.83 

471 

20.57 

2.49 

98 

5 

6.5 

870 

59.20 

681 

20.69 

2 38 

99 

6 

7.5 

9.00 

84.77 

942 

20.85 

2 32 

100 

7 

8.5 

9.30 

115.00 

1237 

20.93 

2 25 

101 

8 

10.0 

9.75 

151.30 

1552 

21.13 

217 

102 

6x  y% 

4 

5.0 

9.00 

43  80 

4 87 

22.82 

2 54 

103 

5 

65 

945 

66.31 

702 

22  94 

243 

104 

6 

7.5 

9.75 

94.37 

9.68 

23.10 

2 37 

105 

7 

8.5 

10  05 

127.48 

12.68 

23.18 

2 31 

106 

8 

10.0 

1050 

167.04 

15.91 

23.38 

2 23 

107 

6Xii 

4 

5.0 

9.75 

49  04 

5 03 

25  07 

2.57 

108 

5 

65 

1020 

73.72 

723 

25.19 

2 47 

109 

6 

7.5 

10.50 

104.36 

9.94 

25.35 

2 41 

110 

7 

8-5 

10  80 

140.40 

1300 

25.43 

2 35 

111 

8 

,10  0 

11  25 

183.28 

1629 

25.63 

2.28 

112 

6X^ 

4 

5.0 

10  50 

54.48 

5 19 

27.32 

2.60 

113 

5 

6.5  : 

1095 

81.38 

743 

27.44 

2 51 

114 

6 

7.5  1 

11  25 

114.62 

1019 

27.60 

245 

115 

7 

8.5 

11  55 

153.64 

13  30 

27.68 

2 40 

116 

8 

10.0 

12  00 

199.85 

16.65 

27.88 

232 

117 

7 XX 

5 

6.5 

5.45 

31.12 

5.71 

14.73 

2.70 

118 

6 

7.5 

5 75 

46  28 

8.05 

14  89 

2 59 

119 

7 

8.5 

6 05 

64.49 

10.66 

1497 

2 47 

120 

8 

10  0 

6.50 

87.16 

13  41 

15.17 

2 33 

121 

9 

14.5 

7.85 

122.27 

15.57 

16.36 

2.08 

122 

7XTff 

5 

6.5 

6.33 

37.86 

5 98 

18.33 

2 90 

123 

6 

75 

6 63 

55.68 

8-40 

18.48 

2.79 

121 

7 

85 

6.93 

76.98 

11  11 

18.57 

2 68 

125 

8 

10.0 

738 

103.17 

1398 

18.76 

2 54 

126 

9 

14.5 

8.73 

142.24 

16.30 

19.95 

229 

127 

ixYi 

5 

6.5 

7.20 

4493 

6 24 

21.88 

304 

128 

6 

7.5 

750 

65.46 

8.73 

22.1,3 

294 

129 

7 

8.5 

7.80 

89.91 

11  53 

22.12 

2 84 

130 

8 

10.0 

825 

11968 

1451 

22.32 

271 

131 

9 

14.5 

960 

162.78 

16.96 

23.50 

2.45 

23 


^ — * 


rp 

' 

* 1 

TWO  PLATES.  0 

pN 

D ONE  CHANNEL. 

lei 

Two 
Plates, 
Size  in 
Inches. 

ONE  CHANNEL. 

Total  | 
Area, 
Square 
Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

T“2 

I 

1*2 

132 

7 X X^6 

5 

6.5 

8.08 

52.28 

6.47 

25.45 

3.15 

133 

6 

7.5 

8.38 

75.56 

9.02 

25.61 

306 

134 

7 

8.5 

8.68 

103.22 

11.89 

25.69 

296 

135 

8 

10.0 

9.13 

136.62 

14.96 

25.89 

2.84 

136 

9 

14.5 

10.48 

183.80 

17.54 

27.08 

2.58 

137 

7X% 

5 

6.5 

8.95 

59.93 

6.70 

29.03 

3.24 

138 

6 

7.5 

9.25 

86.04 

9.30 

29.18 

3 15 

139 

n 

i 

8.5 

9.55 

116.94 

12.25 

29.27 

306 

140 

8 

10.0 

10.00 

154.03 

15.40 

29.46 

2.95 

141 

9 

14.5 

11.35 

205.34 

18.09 

30.65 

2 70 

142 

7XA 

5 

6.5 

983 

67.90 

691 

32.60 

332 

143 

6 

7,5 

10.13 

96.88 

9.56 

32.75 

323 

144 

7 

8.5 

10  43 

131.08 

1257 

32.84 

315 

145 

8 

10.0 

! 10  88 

171.92 

15.80 

33  03 

304 

146 

9 

14.5 

1223 

227.42 

18.60 

34.22 

280 

147 

7X/s 

5 

65 

10.70 

76.21 

7.12 

36.17 

338 

148 

6 

7.5 

11.00 

108.11 

9.83 

36.33 

3.30 

149 

7 

8.5 

11  30 

145.68 

12.89 

36.41 

322 

150 

8 

10.0 

1175 

190.31 

16.20 

36.61 

3.12 

151 

9 

14.5 

13.10 

250.05 

1909 

37.80 

<2-89 

152 

7X-B 

5 

6.5 

11.58 

84.85 

7.33 

39.74 

343 

153 

6 

75 

11  88 

119.72 

10  08 

39.90 

336 

154 

7 

85 

12.18 

160.71 

13.20 

39.98 

328 

155 

8 

10.0 

1263 

209.21 

16.57 

40.18 

318 

156 

s 

9 

14.5 

13.98 

273  23 

1955 

41.37 

2 96 

157 

|7X^ 

5 

65 

1245 

93.79 

753 

43.32 

348 

158 

6 

7.5 

12.75 

131.70 

10.33 

43.47 

3.41 

159 

7 

8.5 

1305 

176  17 

13.50 

43.56 

334 

160 

8 

10.0 

13.50 

2 >8.58 

16.93 

43.76 

324 

161 

9 

14.5 

1485 

296  94 

20.00 

44.94 

303 

162 

8X  y% 

6 

7.5 

8.25 

73.06 

8.86 

32.60 

395 

163 

7 

8.5 

855 

100.09 

11.71 

32.68 

382 

164 

8 

10.0 

9.00 

132  81 

14.76 

32.88 

365 

165 

9 

14.5 

10.35 

179.23 

17.32 

34.07 

329 

166 

10 

16.0 

10.80 

223.96 

20.74 

34.18 

317 

^ — * 


24 


* — — — - — ’* 


Two 
Plates, 
Size  in 
Inches. 

ONE  CHANNEL. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches 

Lbs.  Per 
Foot. 

I 

r 2 

I 

j r 2 

167 

tJ* 

h 

X 

00 

6 

7 5 

925 

84.64 

9.15 

37.93 

4 10 

168 

7 

8,5 

9.55 

115.32 

12.08 

38.02 

398 

169 

8 

10  0 

10  00 

152.20 

15.22 

38  21 

3.82 

170 

9 

14.5 

11  35 

203.23 

17.91 

1 39.40 

347 

171 

10 

160 

11. 80 

253.17 

2145 

39.52 

335 

172 

!8XX 

6 

7 5 

1025 

96.60 

9 42 

43.26 

4.22 

173 

7 

8.5 

10  55 

130  99 

12.42 

4335 

4 11 

174 

8 

10  0 

11.00 

172.09 

15.64 

43.55 

396 

175 

9 

14  5 

12.35 

227.89 

18  45 

44.73 

362 

176 

10 

16.0 

12.80 

283.00 

22  11 

44.85 

350 

177 

00 

X 

3® 

6 

7.5 

11  25 

109.00 

9 69 

48.60 

4.32 

178 

7 

85 

11  55 

147.16 

12.74 

48.68 

4 21 

179 

8 

10.0 

12.00 

192.55 

16  05 

48.88 

4.07 

180 

9 ! 

14.5 

13.35 

253  12  J 

1896 

50  07 

3.75 

181 

10  | 

16.0 

13.80 

313.50 

22  72 

50.18 

364 

182 

* 

X 

00 

6 , 

7.5 

1225 

121.83 

9.95 

53.93 

4 40 

183 

7 

8.5 

1255 

16386 

1306 

54.01 

430 

184 

8 

10.0 

13.00 

213.59 

1643 

54.21 

4 17 

185 

9 

14.5 

14  35 

279.00 

1944 

55.40 

3 86 

186 

10 

16.0 

14  80 

344  72 

2329 

55.52 

3 75 

187 

00 

X 

6 

75 

13  25 

135.10  1 

1020 

59.26 

4.47 

188 

7 

8 5 | 

1355 

181.04 

1336 

59.35 

438 

189 

8 

10.0  i 

14  00 

235.18  1 

16  80 

59.55 

4.25 

190 

9 

14.5  j 

15  35  j 

305.50  1 

19.90 

60  73 

3 96 

191 

10 

16.0  ' 

15  80  ; 

376.65 

23  84 

60  85 

385 

192 

6 

7.5 

14.25 

148.80 

10.44 

64.60 

453 

193 

7 

8.5 

1455 

198.70 

1366 

64.68 

445 

194 

8 

10.0 

15  00 

257.30 

1715 

64.88 

433 

195 

9 

14  5 

16  35 

332.60 

20  34 

66.07 

4.04 

196 

10 

16.0 

16  80  i 

409.20 

24  36 

66.18 

394 

25 


TWO  CHANNELS.  A- 


— 1-B  ONE  PLATE. 


TWO  CHANNELS. 

Top  Plate, 
Size  in 
Inches. 

Total  Area, 
Square 
Inches. 

Eccen- 

tricity. 

AXIS  A B. 

AXIS  C D 
I 

Depth  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r2 

1 

5 

6.5 

ioxX 

640 

1.03 

24.4 

382 

j 

77.4 

2 

8.5 

7.60 

0 86 

28.1 

3.69 

90.3 

3 

9.0 

7 90 

0.83 

32.2 

4.08 

95.7 

4 

14.0 

10  90 

0 60 

40  0 

367 

121.3 

5 

6.5 

12XX 

6.90 

1.14 

25  7 

3 73 

126.0 

6 

8.5 

8.10 

0.97 

29  5 

3.64 

147.9 

7 

90 

8.40 

0 94 

33.7 

4 01 

156.0 

8 

14.0 

11.40 

0.69 

41.9 

3.68 

202.2 

9 

6 

7.5 

ioxX 

7.00 

1.12 

398 

5.69 

84  3 

10 

9.5 

8.20 

0.95 

44.8 

5.46 

96  6 

11 

10.0 

8 50 

0.92 

50  4 

5.91 

101.5 

12 

16.0 

12  10 

0.65 

63.4 

5.24 

131.2 

13 

7.5 

12XX 

7.50 

1.25 

418 

5.57 

137.4 

14 

9.5 

8.70 

1.08 

47.0 

5.40 

158.6 

15 

10  0 

900 

1 04 

52  8 

5.86 

166  1 

16 

16.0 

12.60 

0.74 

66  3 

5.26 

220.1 

17 

7 

8 5 

ioxX 

7.60 

1.19 

59.1 

7.77 

87.7 

18 

10.5 

8.80 

1.03 

68  3 

7.76 

100.9 

19 

14.0 

10  90 

0 83 

86  5 

7.94 

119.2 

20 

20.0 

14.50 

0.63 

103.0 

7 10 

143  4 

21 

8.5 

12XX 

8.10 

1.34 

61  9 

7.64 

144.5 

22 

10.5 

9.30 

1 17 

71.5 

7 69 

166.7 

23 

14  0 

1140 

0.95 

90.3 

7 92 

199.2 

24 

20.0 

15.00 

0.73 

107.3 

7.16 

245.8 

25 

8 

10.0 

12XX 

900 

1.38 

89.1 

9.90 

159.3 

26 

12.5 

10.50 

1.18 

105.4 

10.04 

191.6 

27 

16  0 

12  60 

0.98 

129.5 

1028 

222.6 

28 

28.0 

1980 

0.63 

172.3 

8 70 

309  5 

29 

10.0 

14XX 

950 

1 52 

92.8 

9.77 

240.4 

30 

12.5 

11.00 

1.31 

109.7 

997 

288.0 

31 

16.0 

13.10 

1.10 

134.3 

10.25 

337.0 

32 

28.0 

20  30 

0.71 

178.3 

8.78 

481.2 

26 


TWOCHANNELa  A-|  -i-I-B  ONE  PLATE. 

J £ L 


TWO  CHANNELS. 

Ton  Plate, 
Size  in 
Inches. 

Total  Area, 
Square 
Inches. 

AXIS  A B. 

Eccen- 

AXIS  C D. 

Depth  in 
Inches. 

Lbs.  Per 
Foot. 

tricity. 

X 

1*2 

I 

33 

9 

14.5 

12XX 

11.70 

1.19 

142.4 

12.17 

185.0 

34 

16.0 

12.60 

1.10 

161.5 

12.82 

209.6 

35 

18.0 

13.80 

1.01 

179.7 

13.02 

236.1 

36 

30.0 

2100 

0 66 

224  2 

10.68 

303.9 

37 

14.5 

14X* 

12.20 

1.33 

148  1 

12  14 

285.8 

38 

16.0 

13.10 

1 24 

167. 5 

12.78 

321.0 

39 

18 '0 

14.30 

1 13 

186.2 

13.02 

359.9 

40 

30.0 

21  50 

075 

231.9 

10.78 

480.0 

41 

10 

16.0 

14X* 

13.10 

137 

192.3 

14.68 

304.4 

42 

17.5 

1400 

1.28 

220.0 

15.71 

346.0 

43 

20.0 

15.50 

1.16 

249  9 

16.12 

380.4 

44 

35  0 

14X^8 

26  25 

1.04 

366.8 

13.97 

551.8 

45 

16.0 

1GXX 

1360 

1.51 

199.0 

14.64 

438.8 

46 

17.5 

14.50 

1 41 

227.2 

15.67 

493  8 

47 

20.0 

16.00 

1.28 

257.6 

1610 

544.0 

48 

35.0 

16X^ 

27.00 

1.15 

379.4 

14.05 

809.9 

49 

12 

20.0 

16  X* 

17.00 

1.81 

371.8 

21.87 

502.6 

50 

22.5 

18.50 

1.66 

418.3 

22.61 

559.6 

51 

30  0 

2300 

1.34 

500.3 

21.75 

766.6 

52 

50.0 

35.00 

0,88 

658.4 

18.81 

1071.1 

53 

20  0 

1SX# 

18.75 

2 23 

403  2 

21.50 

726.5 

54 

22.5 

20  25 

2 06 

452.5 

22  35 

803  4 

55 

30.0 

24.75 

1.69 

539.7 

21  81 

1076  5 

56 

50.0 

36.75 

1 14 

706.9 

19.23 

1518.8 

57 

12 

20.0 

16X# 

1800 

2.06 

391.8 

21.74 

523.9 

58 

22.5 

19.50 

1.90 

439.3 

22.53 

580  9 

59 

30.0 

24  00 

1 55 

524  1 

21  84 

787.9 

60 

500 

36.00 

1.03 

687  5 

1910 

1092  4 

61 

20.0 

18X* 

19.88 

2.46 

422  3 

21.25 

756.9 

62 

- 

22.5 

21.38 

2 29 

472  5 

22.11 

833.8 

68 

30  0 

25.88 

1.89 

564  2 

21.81 

1 106  7 

64 

50.0 

37.88 

1.29 

737.6 

1947 

1544.4 

27 


-* 


TWO  CHANNELS 


— ONE  X BEAM 


TWO  CHANNELS. 

ONE  X BEAM. 

Depth 

Lbs.  Per 

Area  in 

Depth 

Lbs.  Per 

Area  in 

in  In. 

Foot. 

Sq.  In. 

in  In. 

Foot. 

Sq.  In. 

1 

4 

5.0 

3.00 

3 

7.0 

2.10 

2 

4 

8.0 

2 40 

3 

5 

10.0 

3.00 

4 

6 

13.5 

405 

5 

4 

7.0 

4 20 

3 

7 0 

2 10 

6 

1 

80 

2.40 

7 

5 

10.0 

3 00 

8 

6 

135 

4.05 

9 

4 

9.0 

5 40 

3 

7.0 

2.10 

10 

4 

80 

2.40 

11 

5 

10  0 

3.00 

12 

6 

13.5 

4.05 

13 

5 

6 5 

3.90 

4 

8,0 

2 40 

n 

5 

10  0 

3 00 

15 

6 

13  5 

4.05 

16 

7 

18.0 

5.40 

17 

5 

9.0 

5.40 

4 

80 

2.40 

18 

5 

10.0 

3.00 

19 

6 

13  5 

4.05 

20 

7 

18.0 

5.40 

21 

5 

14.0 

8.40 

4 

8.0 

2 40 

22 

5 

10  0 

3.00 

23 

6 

13.5 

405 

24 

7 

18.0 

5 40 

25 

6 

7.5 

4.50 

4 

8.0 

2.40 

26 

5 

10.0 

3 00 

27 

6 

13.5 

4.05 

28 

7 

18.0 

5 40 

29 

8 

22.0 

6.60 

Total 

Area, 

Square 

Inches. 


5.10 

5.40 
6.00 
7.05 

6.30 

6.60 

7,20 

8.25 

750 

7.80 

8.40 
945 

6.30 

6.90 

795 

930 

7.80 

8.40 

9.45 

10.80 

10.80 

11.40 

12.45 

13.80 

6.90 

7.50 

8.55 
9 90 
11.10 


r 2 


7.97 
8 13 

8.50 
9.42 

10.51 

10.67 

11.04 

11.96 

12.11 

12.27 
12.64 
13.56 

14.71 
15  08 
16.00 

17.72 

21.15 
2152 
22.44 

24.16 

27.41 
27.78 
28.70 

30.42 

24  91 

25.28 
26.20 
27.92 
28  77 


1.56 

1.51 

1.42 

1.34 

167 

162 

1.53 

1.45 

1.62 

1.57 

1.51 

1.44 

2.34 

2.19 
2.01 
191 

2.71 

2.56 

2.38 

2.24 

2 54 

2.44 
2.31 

2.20 

361 

3.37 

3.06 

2.82 

2.59 


28 


* 


TWO  CHANNELS 


— ONE  I BEAM. 


TWO  CHANNELS. 

ONE  X BEAM. 

Total 

Area, 

Square 

Inches. 

I 

r* 

Depth  Lbs.  Per 
in  In.|  Foot. 

Area  in 
Sq.  In. 

Depth 
in  In. 

Lbs.  Per 
Foot.  , 

Area  in 
Sq.  In. 

30 

6 

10.0 

6.00 

4 

8.0 

2.40 

8.40 

33.91 

4 04 

31 

5 

10.0 

3.00 

9.00 

34.28 

3.81 

32 

6 

13.5 

4.05 

10.05 

35.20 

3.50 

33 

7 

18  0 

5 40 

11.40 

36.92 

3.24 

34 

8 

22.0 

6.60 

12.60 

37.77 

3.00 

35 

6 

16.0 

9.60 

4 

8.0 

2.40 

12  00 

44.71 

373 

36 

5 

10.0 

3.00 

12  60 

45.08 

3.58 

37 

6 

13.5 

4.05 

1365 

46  00 

3.37 

33 

7 

18.0 

5.40 

15  00 

47.72 

3.18 

39 

8 

22.0 

6.60 

16.20 

48.57 

300 

40 

7 

85 

5.10 

5 

10.0 

3 00 

8 10 

38.08 

4.70 

41 

6 

13.5 

4.05 

9.15 

39.00 

426 

42 

Y 

18.0 

5.40 

10.50 

40.72 

3 88 

43 

8 

22.0 

6.60 

11.70 

41.57 

3.55 

44 

9 

23.5 

7.05 

12.15 

42.48 

3 50 

45 

7 

10.5 

6.30 

5 

! 10.0 

3 00 

9.30 

45.88 

4 93 

46 

6 

13.5 

4.05 

10  35 

46  80 

4 52 

47 

7 

18.0 

5 40 

11.70 

48.52 

4.15 

48 

8 

22.0 

660 

12  90 

49.37 

3 83 

49 

9 

23.5 

7.05 

13.35 

50.28 

377 

50 

7 

13.5 

8.10 

5 

10.0 

3.00 

11.10 

53.28 

480 

51 

6 

13.5 

4 05 

12  15 

54.20 

446 

52 

7 

18.0 

5.40 

13.50 

55.92 

414 

53 

8 

22.0 

6 60 

14  70 

56.77 

3.86 

54 

9 

23.5 

7.05 

15.15 

57.68 

3 81 

55 

7 

20.0 

12.00 

5 

10.0 

3.00 

15.00 

76.88 

6.13 

56 

6 

13.5 

4.05 

1605 

77  80 

4-85 

57 

7 

18.0 

5.40 

17.40 

79  52 

4 57 

58 

8 

22.0 

6.60 

18.60 

80  37 

4 32 

59 

1 

9 

23.5 

7.05 

19.05 

81.28  1 

4.27 

29 


*■ 


TWO  CHANNELS  — 

lh 

■C 

ONE  I BEAM. 

TWO  CHANNELS. 

ONE  X BEAM. 

Total 

Area, 

T 

V!  O 

Depth 

Lbs.  Per 

Area  in 

Depth 

Lbs.  Per 

Area  in 

Square 

Inches. 

JL 

in  In. 

Foot. 

Sq.  In. 

in  In. 

Foot. 

Sq.  In. 

60 

8 

10.0 

6.00 

6 

13  5 

4 05 

10.05 

57.20 

5.69 

61 

7 

18.0 

5 40 

1140 

58.92 

5 17 

62 

8 

22  0 

6.60 

12  60 

59.77 

4.74 

63 

9 

23  5 

7.05 

13  05 

60.68 

4 65 

64 

10 

30.0 

9 00 

15  00 

63.14 

4.21 

65 

8 

12.5 

7.50 

6 

13  5 

4 05 

11  55 

71  00 

6 15 

66 

7 

180 

5.40 

12  90 

7272 

5.64 

67 

8 

22.0 

6.60 

14  10 

73  57 

522 

68 

9 

23  5 

7 05 

14  55 

74  48 

5 12 

69 

10 

30.0 

9.00 

16.50 

76.94 

4.66 

70 

8 

15.5 

9 30 

6 

13  5 

405 

13  35 

80  40 

6.02 

71 

7 

180 

5 40 

1470 

82  12 

5 59 

72 

8 

22  0 

6 60 

15  90 

82  97 

5 22 

73 

9 

23  5 

7 05 

16  35 

83.88 

5 13 

74 

10 

30.0 

9 00 

18.30 

86.34 

4.72 

75 

8 

28.0 

16.80 

6 

13  5 

4 05 

20  85 

13100 

628 

76 

7 

18.0 

5 40 

22  20 

132  72 

5 98 

77 

8 

22.0 

6.60 

23  40 

133  57 

5 71 

78 

9 

23  5 

7.05 

23.85 

134  48 

5.6  4 

79 

10 

30.0 

9.00 

25.80 

136.94 

5 31 

80 

9 

14.5 

8.70 

6 

13  5 

4.05 

12.75 

96.80 

759 

81 

7 

18.0 

5 40 

14  10 

98  52 

6 99 

82 

8 

22.0 

6 60 

1530 

99.37 

6.50 

83 

9 

23  5 

7 05 

15.75 

100.28 

6 37 

84 

30 

30.0 

9.00 

17.70 

102.74 

5 80 

85 

9 

16.0 

960 

6 

13  5 

4 05 

1365 

114.60 

8 40 

86 

7 

18.0 

5.40 

15  00 

116.32 

7 76 

87 

8 

22.0 

6 60 

16.20 

117.17 

7.23 

88 

9 

23.5 

7.05 

1665 

118.08 

709 

89 

10 

30.0 

9 00 

18.60 

120.54 

6.48 

30 


*- 


TWO  CHANNELS  — 


M 


ONE  X BEAM. 


TWO  CHANNELS. 

_ J 

ONE  I BEAM. 

Total 

Area, 

Square 

Inches. 

I 

T*2 

Depth 
in  In. 

Lbs.  Per 
Foot. 

Area  in 
Sq  Tn 

Depth 
in  In. 

Lbs  'Perj 
Foot.  ' 

. 

Area  in 
Sq  Tn 

90 

9 

30.0 

18.00 

6 

13.5  i 

4.05 

2205 

180.20 

8.17 

91 

7 

18  0 . 

5.10  | 

23.40 

181.92 

7.77 

92 

8 

22.0 

6.60 

24.60 

182.77 

7.43 

93 

9 

23.5 

7.05 

2505 

183.68 

7 33 

94 

10 

30.0 

9 00 

27.00 

186.14 

6.89 

95 

10 

17.5 

10.50 

6 

13.5 

4 05 

14  55 

153.00 

10.52 

96 

7 

18.0 

5.10 

15.90 

154  72  1 

9 73 

97 

8 

22.0 

6 60 

17  10 

1 ,5.57 

910 

98 

! 

9 

23.5 

7 05 

17.55 

156  48 

8.92 

99 

10 

30.0 

9.00* 

19.50 

158.94 

815 

100 

10 

20  0 

12.00 

6 

13.5 

4.05 

16.05 

180  80 

11.26 

101 

7 

18.0 

5 40 

1740 

182  52  | 

10  49 

102 

8 

22.0 

6.60 

18.60 

183  37 

9.86 

103 

9 

23.5 

7.05 

19  05 

184.28 

9 67 

104 

10 

30.0 

9.00 

2100 

186.74 

8.89 

105 

10 

35.0 

| 21.00 

6 

13.5 

4 05 

25  05 

255.80 

10  21 

106 

7 

18  0 

5.40 

2640 

257.52 

9.75 

107 

8 

22  0 

6.60 

27.60 

258  37 

9 38 

108 

9 

23.5 

7.05 

28.05 

259.28 

924 

109 

10 

30.0 

9.00 

30.00 

261.74 

874 

110 

12 

22.5 

13.50 

7 

18.0 

5.40 

1890 

283.72 

15  01 

111 

8 

22.0 

6.60 

20  10 

284.57 

14.16 

112 

9 

23  5 

7.05 

20.55 

285.48 

13  89 

113 

10 

30.0 

9-00 

2250 

287  94 

12  80 

114 

12 

42.0 

12  60 

26.10 

291.00 

11.15 

115 

12 

30  0 

18.00 

7 

18.0 

5 40 

2340 

339.72 

1452 

116 

8 

22.0 

6 60 

24  60 

340.57 

13  84 

117 

9 

23.5 

7 05 

25  05 

341.48 

13  63 

118 

10 

30.0 

9 00 

27.00 

343.94 

12.74 

119 

12 

42.0 

12.60 

30  60 

347.00 

1134 

-* 


31 


—I ►£< 


TWO  CHANNELS. 

ONE  I BEAM. 

Total 

Area. 

| Square 
j Inches. 

I 

X*  2 

Depth 
in  In. 

Lbs.  Per 
Foot. 

Area  in 

Sq.  In. 

Depth 
in  In. 

Lbs.  Per 
Foot. 

Area  in 
Sq.  In. 

120 

12 

50.0 

30.00 

7 

18  0 

5.40 

35.40 

499.72 

14  12 

121 

8 

22  0 

6.60 

36.60 

500.57 

13.68 

122 

9 

23.5 

7.05 

37.05 

501  48 

13.54 

123 

10 

30  0 

9.00 

39.00 

503.94 

12.92 

124 

12 

42.0 

12.60 

42.60 

507.00 

11.90 

125 

15 

40.0 

24.00 

8 

22.0 

6.60 

30.60 

722  57 

2361 

126 

9 

23.5 

7.05 

3105 

723.48 

23.30 

127 

10 

30  0 

9.00 

33.00 

725  94 

2200 

128 

12 

42.0 

12  60 

36.60 

729  00 

1992 

129 

•15 

50.0 

15.00 

39.00 

734.30 

18.83 

130 

15 

50.0 

30.00 

8 

22.0 

6.60 

36.60 

834.57 

22.80 

131 

9 

23.5 

7.05 

37  05 

835.48 

22.55 

132 

10 

30.0 

900 

39.00 

837.94 

21.48 

133 

12 

42  0 

i 12.60 

42.60 

841.00 

19.74 

134 

15 

50  0 

15.00 

45.00 

846.30 

18  81 

135 

15 

60.0 

36.00 

8 

22  0 

6.60 

42.60 

946.57 

22.22 

136 

9 

23.5 

7.05 

43.05 

947.48 

2201 

137 

10 

30  0 

9 00 

45  00 

949.94 

21.11 

138 

12 

42  0 

12.60 

48.60 

953.00 

19.61 

139 

15 

50.0 

15.00 

51.00 

958.30  | 

18  79 

32 


33 


tor 

B 

TW 

ONE  PLATE. 

- 

1 

D 

O ANG-LES. 

One  Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

Eccen- 

AXIS 

CD. 

X*  2 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r.2 

tricity. 

1 

6XX 

2 X2% 

3.5 

3,60 

10  5 

2.93 

1.44 

0.85 

2 

2 X3 

4.0 

3.90 

11.1 

2.84 

1.55 

1.33 

3 

2/4x3 

4.4 

414 

11.2 

2.71 

1.49 

1.25 

4 

3 X3 

5.9 

5.04 

12.3 

2 45 

1.50 

1.28 

5 

6X^4 

2 X2X 

3.5 

435 

14.1 

323 

1.19 

0.77 

6 

2 X3 

4.0 

4.65 

14.9 

3.19' 

1.30 

1.19 

7 

2/X3 

4.4 

4.89 

14.9 

3.04 

1.26 

1.14 

8 

3 X3 

5.9 

5.79 

16.1 

2.77 

1.31 

1.20 

9 

7 XX 

2 X2% 

3.5 

385 

16.2 

4 22 

1.62 

0.80 

10 

2 X3 

4.0 

4.15 

17.1 

412 

1.74 

1.25 

11 

2%  X 3 

4.4 

439 

17.1 

390 

1.71 

1.18 

12 

3 X3 

5.9 

5.29 

18.3 

3.46 

1.77 

1.22 

13 

2 X2% 

3.5 

473 

21.7 

4.59 

1.32 

0.71 

14 

2 X3 

4.0 

503 

22.9 

455 

1.44 

1.10 

15 

2%X3 

4.4 

5.27 

22  8 

4.33 

1.42 

1.06 

16 

3 X3 

5.9 

6.17 

24.2 

3.93 

1.52 

1.13 

17 

8X/ 

2 X3 

4.0 

4.40 

24.9 

5.66 

1.92 

1.18 

18 

2%X3 

4.4 

464 

24.9 

5.36 

1.90 

1.12 

19 

3 X3 

5.9 

5.54 

26.3 

4.75 

2.01 

1.17 

20 

3 X4 

8.3 

6.98 

29.3 

420 

2.30 

2.55 

21 

8X?4 

2 X3 

4.0 

540 

33.2 

6.15 

1.56 

1.03 

22 

2%  X 3 

4.4 

5.64 

33.2 

5.88 

1.56 

0.99 

23 

3 X3 

5.9 

6.54 

35.0 

5.35 

1.70 

1.06 

24 

3 X4 

8.3 

798 

39.2 

4.92 

2.01 

2.34 

25 

9XX 

2^X3 

4.4 

4.89 

34.6 

7.07 

2.07 

1.06 

26 

3 X3 

5.9 

579 

36.4 

629 

2.23 

1.12 

27 

3 X4 

8.3 

723 

40.5 

5.60 

2.56 

2.46 

28 

3 X4% 

8.9 

7.59 

41.5 

547 

2.65 

3.29 

34 


•X, 


* 


c 


TWO  ANG-LES. 


One  Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches, 

AXIS  A B. 

Eccen- 

tricity. 

AXIS 

CD. 

X*2 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

1?  2 

29 

9 X3/s 

2%X3 

4.4 

6.02 

46.1 

7.67 

1.69 

0.93 

30 

3 X3 

5.9 

6.92 

48.7 

7.04 

1.86 

1.01 

31 

3 X4 

8.3 

8.36 

54.5 

652 

2.22 

2.24 

32 

3 X4X 

8.9 

8.72 

56.0 

6.42 

2.30 

2.99 

33 

10XX 

2%X3 

4.4 

5.14 

46.5 

905 

2.23 

1.01 

34 

3 X 3 

5.9 

6.04 

49.0 

8.11 

2.43 

1.07 

35 

3 X4 

8.3 

7 48 

54. 3 

7.26 

2.81 

2 38 

36 

1 

3 X4X 

8.9 

7.84 

55.7 

7.10 

2 90 

3.18 

37 

10X54  I 2/X3 

4.4 

6.39 

61.9 

9.69 

1.79 

0 87 

38 

3 X3  ; 

1 5.9 

7.29 

65.5 

8.98 

2.01 

0.95 

39 

3 X4  i 

i 8.3 

8.73 

73.2 

8.38 

2.41 

214 

40 

3 X4%' 

1 8.9 

9.09 

75.2 

8 27 

2.50 

2.87 

41 

12X  % 

3 X3  ; 

j 59 

654 

81.9 

12.53 

2.78 

0.99 

42 

3 X4 

1 8.3 

7.98 

90.8 

11.38 

3.26 

2.23 

43 

3 X5 

9.5 

8.70 

95.3 

10  96 

3.47 

3.88 

44 

3%X5 

10  2 

9 12 

95.6 

10.48 

3.45 

3.73 

45 

12X^| 

3 X3 

5.9 

804 

109.4 

1360 

2.26 

0.87 

46 

3 X4 

8.3 

9.48 

122.3 

12.90 

2.74 

1.97 

47 

i 

3 X5 

9.5 

10  20 

128.7 

12.62 

2.96 

3.44 

48 

1 

1 3%X5 

1 10.2 

10.62 

128.9 

12  14 

2.96 

3.33 

49 

3 X3 

5.9 

7.92 

148.3 

18.73 

2 75 

0.85 

50 

3 X4 

8.3 

9.36 

165.4 

17.68 

3.31 

1.95 

51 

3 X5 

95 

1008 

173.8 

1725 

3.56 

3.42 

52 

3/2  X 5 

10.2 

1050 

174.0 

16.58 

3.58 

3.31 

53 

14XH 

3 X3 

5.9 

8.79 

169.3  1 

1926 

2.45 

0.79 

54 

3 X4 

8.3 

10  23 

188.5 

18.42 

3.03 

1.83 

55 

3 X5 

9.5 

10  95 

198.3 

18.11 

3.28 

3.21 

56 

- 

3XX5 

10.2 

11.37 

198.6 

1746  1 3.31 

3.11 

* 


* 


35 


c 


I—  ^ ^ 


8 


ONE  PLATE.  1 TWO  ANG-LES. 

O 


One  Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

Eccen- 

tricity. 

AXIS 
CD. 
1*  2 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

i* 2 

57 

15  X A 

3 

X3 

5.9 

8.23 

179.9 

21.86 

2.86 

0.82 

58 

3 

X4 

8.3 

9.67 

200.8 

20.77 

3.46 

1.89 

59 

3 

X5 

9.5 

1039 

211.0 

20.31 

3.73 

3.31 

60 

3^X5 

10.2 

10.81 

211.3 

19.55 

3.76 

3.21 

61 

15X^4 

3 

X3 

5.9 

9.17 

204.2 

22.28 

2.57 

0.76 

62 

3 

X4 

8.3 

10.61 

228.6 

21  55 

3.16 

1.77 

63 

3 

X5 

95 

11.33 

240.4 

21.23 

3.42 

3.10 

64 

3//2  X 5 

10.2 

11.75 

240.9 

20.52 

3.46 

3.02 

65 

15X% 

3 

X3 

5.9 

1104 

249.6 

22  61 

2.13 

0.68 

66 

3 

X4 

8.3 

12.48 

279.6 

22.40 

2.68 

1.58 

67 

3 

X5 

9.5 

1320 

294.4 

22  30 

2 94 

2.77 

68 

4 

X5 

10.8 

13.98 

295.4 

2113 

3.00 

2.65 

69 

15X=4 

3 

X3 

5.9 

12.92 

292.1 

22.62 

1.82 

064 

70 

3 

X4 

8.3 

14  36 

316.5 

22.75 

2.33 

1.45 

71 

3 

X5 

95 

15  08 

343.8 

22  80 

2.57 

2.53 

72 

4 

X5 

10.8 

15.86 

345.5 

21.79 

2.64 

2.44 

73 

16XT5<r 

3 

X4 

8.3 

9.98 

240.5 

24  10 

3 60 

1.81 

74 

3 

X5 

9.5 

1070 

252.6 

23.61 

3.^9 

3.22 

75 

4 

X5 

10.8 

11.48 

253.1 

2205 

3.93 

3.03 

76 

4 

X6 

13.9 

13.34 

272.9 

20.45 

4.40 

5.13 

77 

16XH 

3 

X4 

8.3 

10.98 

273.7 

24.92 

3.28 

1.71 

78 

3 

X5 

9.5 

11.70 

287.9 

2460 

3.56 

3.00 

79 

, 

4 

X5 

10.8 

12.48 

288.7 

2313 

3.62 

2.85 

80 

4 

X6 

13.9 

14  34 

312.2 

21.77 

4.09 

4.85 

81 

16X% 

3 

X4 

8.3 

12.98 

334.5 

25.77 

2.77 

1.52 

82 

3 

X5 

9.5 

13.70 

352.1 

25.70 

3.04 

2.67 

83 

4 

X5 

10.8 

1448 

353  9 

24  44 

3.12 

2.56 

84 

4 

X6 

13.9 

16.34 

384.3 

23.52 

3.59 

4.40 

■>  < 


36 


* = 

c 

TWO  ANGLES. 


One  Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

Eccen- 

tricity. 

AXIS 

CD. 

1*2 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

I*2 

85 

16X 

3 

X4 

8.3 

14.98 

390.5 

26.07 

2.40 

1.39 

86 

3 

X5 

9 5 

15.70 

410.9 

26.17 

2.65 

2.43 

87 

4 

X5 

10.8 

16.48 

413.7 

25  10 

2.74 

2.35 

88 

4 

X6 

13.9 

1834 

450.0 

24.53 

3.20 

4.06 

89 

18Xy\ 

3 

X4 

8.3 

1061 

334  2 

31  51 

3.86 

1.72 

90 

3 

X5 

9 5 

1133 

351.0 

30  99 

4.18 

3.04 

91 

4 

X5 

10.8 

12.11 

352  5 

29.12 

4 27 

2.87 

92 

4 

X6 

13.9 

13.97 

380.2 

27.22 

4.80 

4.90 

93 

18  X}4 

3 

X4 

8.3 

11  73 

379.7 

3236 

3.49 

1.60 

94 

3 

X5 

9.5 

12.45 

399.2 

32.06 

3.80 

2.82 

95 

4 

X5 

108 

13  23 

4016 

3035 

3.90 

2.69 

96 

4 

X6 

13.9 

15.09 

434.5 

28.80 

4 44 

4.61 

97 

18X% 

o 

O 

X4 

83 

13.98 

4«3.5 

33.15 

2.93 

1.41 

98 

3 

X5 

95 

14.70 

487.5 

33  16 

3.22 

2.49 

99 

4 

X5 

10.8 

15.48 

491.4 

31.74 

3,34 

2.39 

100 

4 

X6 

13.9 

17.34 

534.2 

30.82 

3.87 

4.15 

101 

18x>i 

3 

X4 

8.3 

16.23 

540.8 

33.32 

2 52 

1.29 

102 

3 

X5 

9 5 

16  95 

568.5 

3354 

2.79 

2 25 

103 

4 

X 5 

10.8 

17*73 

574.2 

32  39 

2.91 

2.18 

104 

4 

X6 

13.9 

1959 

624.6 

3188 

3.42 

3.80 

105 

18X^ 

3 

X4 

8.3 

18.48 

614.2 

33.23 

2 22 

1.20 

106 

3 

X5 

9 5 

19  20 

644.7 

33  58 

2 46 

2.08 

107 

4 

X5 

10.8 

19.98 

651  9 

32.63 

2 59 

2.03 

108 

4 

X6 

13  9 

21.84 

709.0 

32.46 

3.07 

3.53 

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A—-11 


-8 


ONE  PLATE. 


37 


*- 


TWO  PLATES. 


9 

Ilf— 

^ilkr 

b 


TWO  ANGLES. 


Web 
Plate, 
Size  in 
Inches. 

Top 
Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

Eccen- 

tric- 

ity. 

AXIS 
CD. 
r 2 

Size  in  Inches 

Lbs. 
Per  Ft. 

I 

T2 

1 

6XX 

7XX 

2XX3 

4.4 

5.89 

14.5 

2.46 

1.98 

2 09 

2 

v xys 

6.7 

8.15 

16.7 

2.05 

2.15 

2.37 

3 

7X% 

9.0 

1040 

18.9 

1.82 

2.24 

2.58 

4 

6 XH 

8xys 

4.4 

7.89 

21.8 

2 76 

2.00 

2.73 

5 

8X% 

6.7 

10.27 

24.5 

2 39 

2.15 

2.97 

6 

8X  % 

9.0 

12.65 

27.1 

2.14 

2.25 

3.16 

7 

7x'A 

7XH 

3 

X3 

5.9 

7.04 

22.9 

3 25 

2.23 

1.93 

8 

ixy% 

7.2 

8.70 

25.5 

2.94 

2.41 

2.19 

9 

ixx 

9.7 

1107 

28.8 

2 60 

2.52 

2.39 

10 

7xX 

8xy 

5.9 

9.17 

33.8 

3.68 

2 23 

2.50 

11 

8XX 

7.2 

1095 

37.1 

3.39 

2.40 

2.76 

12 

8X  X 

9.7 

13.45 

41.0 

3.05 

2.51 

2.95 

13 

8XX 

8XX 

3 

X3 

5.9 

7.54 

32.9 

4.36 

2.57 

2.27 

14 

8xys 

7.2 

9.32 

363 

390 

2.78 

2.61 

15 

8X% 

9.7 

11.82 

40.1 

3.39 

2.93 

2.84 

16 

8xX 

9XX 

5.9 

992 

48  8 

492 

2.55 

2.99 

17 

9X^ 

7.2 

11.82 

53.1 

4.49 

2.75 

3.32 

18 

9X>4 

9.7 

14.45 

57.9 

4.01 

2 90 

3.53 

19 

9Xj55 

9XX 

3 

X4 

8.3 

11  17 

60.2 

5.39 

3.08 

3.67 

20 

9XX 

11.2 

14.03 

65.3 

4 65 

3.27 

4.04 

21 

9xys 

14.1 

16.90 

70.2 

4.15 

3.39 

4.33 

22 

9X^4 

io  xy 

8.3 

12.11 

70.2 

5.80 

2.98 

4.12 

23 

loxx 

11.2 

1510 

76.2 

5.05 

3.20 

4.55 

21 

io  xy 

14.1 

18.09 

81.6 

4.51 

3.34 

4.88 

25 

1 0 X r? 

io  xy& 

3 

X4 

8.3 

11.86 

81.3 

686 

3.41 

417 

26 

10  X'/2 

11.2 

14.85 

87.6 

590 

3.65 

4.58 

27 

iox  y 

14.1 

17.84 

93  2 

523 

3.80 

4.90 

28 

10XJ4 

12  xy% 

8.3 

13.23 

96.1 

7.27 

3.35 

5.49 

29 

12X% 

11.2 

16.47 

103.8 

6.30 

3.61 

6.06 

30 

i2x  y 

14.1 

19.71 

li0.4 

5.60 

3.77 

6.39 

31 

10XX 

12  xy 

8.3 

15.98 

127.0 

795 

3.29 

5.73 

32 

12  xy 

11.2 

19,22 

136.1 

1 7.08 

3.52 

6.15 

33 

12XX 

14.1 

22.4*6 

144.1 

6.41 

3.69 

6.49 

34 

12XA 

12XX 

3 

X5 

9.5 

13.95 

140.0 

10.03 

4.161 6.34 

38  g 


TWO  PLATES. 


TWO  ANGLES, 


*■ 


C 


■* 


D 


Web 
Plate, 
Size  in 
Inches. 

Top 
Plate, 
Size  in 
Inches. 

TWO  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS 

A B. 

Eccen- 

tric- 

ity. 

AXIS 
C D. 
r2 

Size  in  Inches. 

! Lbs. 
Per  Ft. 

I 

1 r* 2 

35 

12XA 

12X% 

3 X5 

129 

17.49 

149.4 

8.54 

446 

6.93 

36 

12X  % 

16.2 

20.97 

157.0 

7-49 

4.65 

7.38 

37 

V2X& 

19.5 

24  45 

164.2 

6.71 

4.78 

7.76 

38 

12X^4 

14x^4 

3%X5 

10.2 

1587 

165.6 

10.43 

4.03 

7.63 

39 

14x  '/z 

13.7 

19.72 

177.7 

901 

4.33 

8.34 

40 

llX/s 

17.2 

23.57 

188.2 

7.98 

4.53 

8.87 

41 

14X^ 

20.8 

27.48 

197.9 

7.20 

4.68 

9.29 

42 

12X% 

14X1 

10.2 

26.12 

258.9 

991 

4 69 

10.17 

43 

14X1J 

13.7 

35  22 

297.9 

8.46 

5.21 

11.22 

44 

14X2 

17.2 

44  32 

340.1 

7.67 

5.59 

11.87 

45 

14X^4 

i4x  y% 

3%X6 

11.4 

17.34 

256  3 

14.78 

4.63 

8.39 

46 

14xX 

15.4 

21.49 

273.9 

12.74 

5.00 

9.24 

47 

14X^4 

19.3 

25.58 

288.0 

11.26 

5.25 

9.88 

48 

14X^ 

23.3 

29.73 

300.4 

10.10 

5.43 

1040 

49 

14XJ4 

14X1 

11.4 

27.84 

392.2 

14.09 

5.30 

10.43 

50 

14X1$ 

15.4 

37  24 

444.5 

11.94 

5.89 

11.55 

51 

14X2 

19.3 

46.58 

495.1 

10.63 

6.32 

12.25 

52 

16XJ4 

14  X# 

3XXC 

11.4 

18.09 

371.2 

20.52 

5.10 

8.04 

53 

14X  )4 

15.4 

22.24 

396.8 

17.84 

5.56 

8.93 

54 

14X  >4 

193 

26.33 

416.6 

15  82 

5.88 

9.60 

55 

14XX 

23  3 

30  48 

432.7 

14.19 

6.10 

10  15 

56 

1CX% 

14X1 

11.4 

28.84 

563.2 

1953 

5.84 

10.07 

57 

14X1$ 

! 5.4 

38.24 

631.8 

16  52 

6.53 

11.25 

58 

14X2 

193 

47  58 

696.5 

1464 

7.02 

11.99 

59 

18X^4 

14  xH 

3%X6 

11.4 

18.84 

514.9 

27  33 

5.54 

7.72 

60 

14XX 

15  4 

2299 

551.2 

23.97 

6.09 

8.64 

61 

14  XH 

19.3 

27.08 

578.0 

21.33 

6.46 

9 34 

62 

14XX 

23.3 

31.23 

599.7 

1920 

6.74 

9 90 

63 

18X% 

14X1 

11.4 

2984 

776.6 

26.03 

6.34 

9.73 

64 

14X1$ 

15.4 

39.24 

866.7 

22.09 

7.14 

10.96 

65 

14X2 

19.3 

48  58 

947.8 

19  51 

7.69 

11.75 

66 

18X^4 

14X1 

11.4 

32.09 

921.4 

2871 

5-89 

9.12 

67 

14x1$ 

15.4 

41.49 

1037.5 

25.01 

6.75 

10.44 

68 

14X2 

193 

50  83 

1135.4 

22.34 

7.35 

11.30 

39 


c 

► 

"11 

THREE  PLATES  A—-! 

n 

h 

il 

[ 

m 

"B  TWO  ANGLES. 

Two  Web 

Top 

TWO  ANGLES. 

Total 

AXIS  A B. 

Eccen- 

tric- 

ity. 

AXIS 

CD. 

I*  2 

Plates, 

Plate, 

Area, 

Square 

Inches. 

Size  in 
Inches. 

Size  in 
Inches. 

Size  in  Inches. 

Lbs. 
Per  Ft. 

I 

T 2 

1 

9XX 

12XX 

2/^X2/^ 

49 

10.44 

78.3 

7.50 

2.39 

13.6 

2 

9X  re 

12X& 

4.9 

11.19 

82.3 

7.35 

2.55 

3 

12X24 

4.9 

12.32 

96.5 

7.83 

2.32 

4 

9XX 

5.9 

13.67 

102.1 

7.47 

2.51 

13.5 

5 

5.9 

14.79 

116.2 

786 

2.32 

6 

9X^4 

12XT^ 

2%X2X 

7.0 

16.20 

122.1 

7.54 

2.49 

13.4 

7 

9X* 

7.0 

17.33 

136.2 

7.86 

2 32 

8 

9X/”2 

12X% 

8.0 

1868 

142.1 

761 

2.46 

13.4 

9 

12X24 

8.0 

19,80 

156.1 

7.88 

2.32 

10 

8.0 

21.30 

166.0 

7.79 

2.52 

11 

IOxX 

14xX 

3 X3 

5.9 

12.04 

109.1 

9.07 

271 

18.2 

12 

14XA 

59 

12  92 

114.4 

8.86 

2.88 

13 

ioxa 

5.9 

1417 

134.4 

9 49 

2.63 

14 

> 

14xX 

7.2 

15.82 

142.1 

898 

284 

18.1 

15 

10X24 

7.2 

17.07 

161.9 

9 48 

2.63 

16 

10X24 

14XA 

3 X3 

8.4 

18  67 

169.7 

909 

2 81 

180 

17 

ioxa 

8.4 

1992 

189.3 

950 

2.64 

18 

14XK 

9.7 

21  57 

197.4 

9 15 

2.79 

18.0 

1 

10X% 

9.7 

22.82 

217.2 

952 

2.64 

20 

14x24 

9.7 

2457 

231.1 

940 

2 85 

2i 

12X24 

15X  X 

w 

X 

CO 

5.9 

13  29 

181.7 

13  67 

310 

21.8 

22 

15XA 

5.9 

14  23 

190.6 

13  39 

3.31 

23 

12X& 

5.9 

15.73 

223.4 

14.21 

2.99 

24 

15  x 24 

7.2 

17.45 

236.3 

13  55 

3.26 

21.6 

23 

12X24 

7.2 

18.95 

269.0 

14  20 

3.00 

26 

12X24 

15  X A 

CO 

X 

CO 

8.4 

2060 

2824 

13.69 

3.22 

21.5 

27 

12X  A 

8.4 

22.10 

314.9 

14  25 

3.00 

28 

15X% 

9.7 

23  82 

328.0 

1377 

3 20 

21.5 

29 

12X% 

9.7 

2532 

360.4 

14.23 

3.01 

30 

15X24 

9,7 

27.20 

382.3 

14.06 

325 

31 

12X24 

i4x>; 

15XX 

CO 

X 

CO 

9.7 

30.20 

447.0 

14.81 

2.93 

32 

16XX 

5.9 

1454 

280.0 

1926 

3.46 

25.9 

33 

WXA 

59 

15.54 

294  0 

18  92 

3.70 

34 

WXA 

5.9 

17.29 

344.1 

19  90 

3 33 

,85 

16XX 

7.2 

19.07 

364  3 

19.11 

364 

25.6 

40 


THREE  PLATES  • 


'll  » 

A il 1 


- B TWO  ANGLES. 


» 

A 


Two  Web 
Plates, 

Top 

Plate, 

TWO  ANGLES. 

Total 

Area, 

AXIS  A B. 

Eccen- 

tric- 

ity. 

AXIS 

CD. 

1*2 

Size  in 
Inches. 

Size  in 
Inches. 

Size  in  Inches. 

Lbs. 

Square 

Inches. 

I 

T 2 

Per  Ft. 

36 

14  XY% 

16x54 

3 X3 

7.2 

20.82 

414.2 

19  89 

3.34 

37 

16Xy’e 

8.4 

22.54 

431.7 

19.15 

3.62 

25.5 

38 

14XA 

8.4 

24  29 

484.1 

19.93 

3.34 

39 

14X% 

16X% 

9.7 

26  07 

505.0 

1937 

3.57 

25.4 

40 

9.7 

27.82 

554.6 

19  94 

3 35 

41 

uxA 

16X^ 

3 X3 

9.7 

2982 

587  6 

1970 

3 63 

42 

14X^ 

9.7 

33  32 

684.6 

2055 

3 25 

43 

14X^ 

16X^ 

122 

36  82 

731.2 

19  86 

3.59 

24.9 

44 

12  2 

40  32 

828.9 

20  56 

3.28 

45 

loX'X 

ISXA 

5.9 

15  54 

316.2 

22.28 

3 72 

35.4 

46 

15  X% 

18Xf\ 

3 X3 

5.9 

1667 

363.5 

21  81 

4 00 

47 

15Xtc 

5 9 

18  54 

425.5 

22  95 

3.59 

48 

18X5s 

7.2 

20.45 

450.4 

22  03 

3.93 

34.8 

49 

15X54 

7.2 

2232 

5122 

22.95 

3 60 

50 

1 6 X y7y 

8.4 

24  17 

542.2 

22  44 

3.89 

34.7 

51 

15Xyj 

18XyV 

3 X3 

8.4 

26.01 

6043 

23  21 

3 60 

52 

15X% 

18  XA 

9.7 

27  95 

624.8 

22  36 

3.86 

34.7 

53 

9.7 

29  8? 

685 > 

23  00 

361 

54 

15X>4 

18X54 

9.7 

32.07 

727.0 

22  67 

3.93 

55 

9.7 

3582 

849.1 

23.70 

3 52 

56 

15X54 

18x54: 

3 X3 

12.2 

39  57 

904.6 

22  86 

3 88 

33.9 

57 

15X54: 

12.2 

4332 

1026.6 

23  70 

3.55 

58 

16x54: 

20x54: 

3%X3% 

8.3 

1798 

433.4 

24  10 

4.20 

43.3 

59 

16XA 

J»x* 

8.3 

1923 

452.8 

23.55 

4 46 

60 

8.3 

2123 

531.5 

25.03 

4.04 

61 

1 6 X y\ 
16X54 

20x54 

3XX3% 

8.3 

2248 

553  4 

24  62 

4 28 

62 

83 

24.48 

629.7 

25.73 

3.93 

63 

16Xy^S 

20  X A 

97 

2657 

660.0 

24  81 

4.°3 

41.7 

64 

9.7 

28  57 

735.8 

2575 

3.93 

65 

20X% 

11.2 

30.72 

767.6 

24.99 

4.20 

41.7 

66 

16X  A 

20X% 

3%X3% 

11.2 

32  72 

8132 

25  77 

3.94 

67 

16XA 

20X54 

127 

36.12 

897.9 

24.86 

4.33 

41.4 

68 

14.1 

40.96 

1058  0 

25  83 

3 95 

41.2 

69 

20X54^ 

15.6 

44.36 

1116.6 

25  17 

4.27 

41.2 

70 

16x54: 

17.0 

49.20 

1274.6 

2591 

3.96 

41.1 

41 


A 


i ? r 

TWO  PLATES.  Aj-  r J6  FOUR  ANGLES. 

Jl  6 !L 


Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

T 2 

Out  to 
Out 
Webs. 

I 

1 

8XX 

2X2 

3.1 

7-72 

66.0 

8.55 

5 3 

66.0 

2 

33 

7.96 

68.6 

8.62 

3 

4.2 

9.04 

802 

8.88 

4 

5.0 

10.00 

903 

9.03 

5 

5.6 

10.72 

97.2 

9.07 

5.3 

103.6 

6 

< 

X 

QO 

2X2 

3.1 

8.72 

71.3 

8.18 

5.2 

69.1 

7 

33 

8.96 

74.0 

8.26 

8 

4,2 

10.04 

85.6 

8.52 

9 

5.0 

11.00 

95.6 

8.69 

10 

5.6 

11.72 

102.6 

8.75 

5.2 

105.8 

11 

8 XX 

2x2 

3.1 

972 

76.7 

7.89 

5.2 

74.2 

12 

3.3 

9.96 

79.3 

7.96 

13 

4.2 

11.04 

90.9 

8.23 

14 

50 

12.00 

100.9 

841 

15 

5.6 

12.72 

107.9 

8.48 

5.2 

110.8 

16 

9XX 

2X2 

3.1 

8.22 

886 

10.78 

6.1 

89.2 

17 

3.8 

9.06 

100.8 

11.12 

18 

4.6 

10.02 

1140 

1137 

19 

5.4 

10.98 

127.0 

11.57 

20 

5.6 

11.22 

130.1 

11.60 

6.1 

135.7 

21 

9XA 

2X2 

3.1 

9.35 

96.3 

10.30 

6.1 

97.8 

22 

3.6 

9.95 

105.1 

10.56 

23 

4.5 

11.03 

120.2 

10.89 

24 

5.3 

11.99 

1329 

11.08 

25 

5.6 

1235 

137.8 

11.15 

6.1 

144.3 

26 

9xX 

2X2 

3.1 

10.47 

103.8 

9.92 

6.0 

102.7 

27 

35 

10.95 

110.7 

10.11 

28 

4.4 

12.03 

125.9 

10.47 

29 

5 2 

12  99 

139.1 

10.71 

30 

56 

13.47 

1 145.3 

10.79 

6.0 

148.1 
a 

42 


* 3% 


TWO  PLATES.  AJ 

J 

c ir 
i F 

6 ll 

6 FOUR  ANGLES. 

was* 

Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r 2 

Out  to 
Out 
Webs. 

I 

31 

ioxx 

2%X3 

4.4 

10.28 

144.1 

14.02 

6.5 

1449 

32 

50 

11.00 

157.1 

14.28 

33 

5.8 

11.96 

174.4 

14.58 

34 

6.7 

13.04 

193.0 

14.80 

35 

7.5 

14  00 

209.6 

14.97 

36 

8.3 

1496 

225. 1 

15.04 

37 

9.0 

15.80 

238.7 

15.11 

65 

258.7 

38 

10X& 

2%X3 

44 

11.53 

1545 

13.40 

65 

1559 

39 

48 

1201 

163.4 

1360 

40 

5.6 

1297 

1802 

1389 

41 

65 

1405 

1996 

1420 

42, 

! 73 

15.01 

2156 

1436 

43 

8.1 

i 15  97 

2318 

14.52 

44 

90 

1705 

2492 

14.61 

65 

2697 

45 

10x^4 

2%X3 

44 

12.78 

164.9 

1290 

65 

1664 

46 

46 

1302 

169  1 

1299 

47 

54 

1398 

1866 

13.35 

48 

6.2 

1494 

2038 

1364 

49 

7.1 

1602 

222  2 

1387 

• 

50 

7.9 

1698 

2378 

14.00 

51 

i 

8.7 

1794 

2539 

1415 

52 

90 

1830 

2596 

1418 

65 

2802 

53 

12X  ]i 

2%X3 

4.4 

11.28 

226. 

1999 

81 

227. 

54 

5 0 

1200 

245. 

2044 

1 

55 

5.8 

12.96 

272. 

2095 

56 

\ 

67 

1404 

300. 

2137 

57 

75 

1500 

325. 

21.70 

58 

8.3 

1596 

349. 

21.89 

59 

A 

9-0 

16.80 

371. 

2206 

81 

383. 
Jr 

43 


# 

TWO  PLATES. 

* 

1 

A 

J 

C 

D 

r 

6 POUR  ANGLES. 

L 

Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r 2 

Out  to 
Out 
Webs. 

I 

60 

12  X A 

2%X3 

44 

] 2.78 

244. 

1905 

8.0 

243. 

61 

4.6 

13.02 

250. 

19  20 

62 

5.4 

1398 

276. 

1977 

63 

6.2 

14.94 

303. 

20.25 

64 

j 

7.1 

1602 

331. 

2065 

65 

79 

16.98 

355. 

20.91 

66 

8.7 

1794 

380. 

21  16 

67 

90 

1830 

389. 

2123 

8.0 

396. 

68 

12X^ 

2%X3 

4.4 

14.28 

262. 

1831 

8.0 

263. 

69 

5.0 

1500 

281. 

1875 

70 

58 

15.96 

308. 

1927 

71 

67 

1704 

336. 

19.72 

72 

7-5 

18.00 

361. 

2008 

73 

83 

18.96 

385. 

2033 

74 

90 

1980 

407. 

2053 

8.0 

416. 

75 

14XX 

3 X3 

5 9 

1408 

387. 

27.5 

9.6 

386. 

76 

6.0 

1420 

392. 

27.6 

77 

65 

1480 

413. 

279 

78 

70 

15  40 

435. 

28.3 

79 

80 

1660 

478. 

28.8 

80 

90 

1780 

519. 

292 

81 

10.0 

1900 

560. 

295 

82 

11.0 

2020 

600. 

297 

9.6 

611. 

83 

14Xt\ 

3 X3 

5.9 

1583 

416. 

26  3 

9.6 

422. 

84 

60 

15.95 

421. 

26  4 

85 

6 5 

1655 

442. 

26.7 

86 

70 

1715 

464. 

270 

87 

80 

1835 

506. 

276 

88 

90 

1955 

548. 

280 

89 

100 

20.75 

589. 

28.4 

90 

11.0 

21.95 

629. 

286 

9 6 

646. 

44 


TWO  PLATFS. 


1 

A 


B FOUR  ANQLF.S. 

L 


Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  0 D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r 2 

Out  to  | 
Out 
Webs. 

I 

91 

14XJ4 

3X3 

5.9 

17.58 

444. 

25.3 

9.5 

447. 

92 

6.0 

17.70 

449. 

25.4 

93 

6.5 

18.30 

470. 

25.7 

94 

7.0 

18.90 

492. 

26.1 

95 

8.0 

20.10 

535. 

26.6 

96 

9.0 

21.30 

576. 

27.1 

97 

100 

22  50 

617. 

27.4 

98 

11.0 

23.70 

657. 

27.7  i 

9.5 

669. 

99 

14  X* 

3X3 

5.9 

1933 

473. 

24  5 

9.5 

480. 

100 

60 

19.45 

478. 

24.6 

101 

6.5 

20.05 

499. 

24  9 

102 

7.0 

2065 

521. 

25.2 

103 

8.0 

21.85 

563. 

25.8 

104 

9.0 

23.05 

605. 

26.2 

105 

10.0 

| 24.25 

646. 

26.6 

106 

11.0 

; 25.45 

686. 

26  9 

9.5 

701. 

107 

14XX 

3X3 

5 9 

21.08 

502. 

23.8 

9 5 

512. 

108 

60 

21.20 

506. 

239 

109 

6.5 

21.80 

528. 

24  2 

110 

7.0 

22.40 

550. 

24.5 

111 

8.0 

23.60 

592. 

25.1 

112 

90 

24.80 

634. 

25.6 

113 

10.0 

26.00 

674. 

25.9 

114 

• 

11.0 , 

27.20 

714. 

26.3 

9.5 

733. 

115 

15X  % 

3X3 

5.9 

14.58 

459. 

315 

10.4 

459. 

116 

60 

14.70 

464. 

31.6 

117 

6.5 

15  30 

! 489. 

32.0 

118 

70 

15.90 

,515. 

32.4 

119 

8.0 

17.10 

564. 

33.0 

120 

9.0 

1830 

614. 

335 

121 

10.0 

19.50 

662. 

33.9 

122 

ill.O 

2070 

709. 

342 

10.4 

714. 

m 


45 


TWO  PLATES. 


] 


£ FOUR  ANGLES. 

L 


123 

124 

125 

126 

127 

128 

129 

130 

131 

132 

133 

134 

135 

136 

137 

138 

139 

140 

141 

142 

143 

144 

145 

146 

147 

148 
1 149 

150 

151 

152 

153 

154 

* 


Two  Web 
Plates, 
Size  in 
Inches. 


16 


15 


15X 


15X% 


FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C L. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r 2 

Out  to 
Out 
Webs. 

I 

3X3 

5.9 

16.46 

494. 

30.0 

10.3 

496. 

6.0 

16.58 

499. 

30.1 

6.5 

17.18 

524. 

30.5 

70 

17.78 

550. 

30.9 

80 

18.98 

600. 

31.6 

90 

20.18 

649. 

322 

100 

21.38 

697. 

32.6 

11.0 

22.58 

744. 

32.9 

10.3 

747. 

3X3 

5.9 

1833 

529. 

28.9 

10.2 

529. 

60 

18  45 

535. 

29  0 

6.5 

1905 

560. 

294 

70 

19.65 

585. 

29  8 

80 

2085 

635. 

305 

90 

2205 

684. 

310 

100 

23.25 

732. 

31  5 

11.0 

24.45 

779. 

31.9 

10.2 

776. 

3X3 

5.9 

20  20 

564. 

27.9 

10.2 

570. 

6.0 

20.32 

570. 

28.0 

6.5 

20.92 

595. 

28.4 

7.0 

21.52 

620. 

28.8 

8.0 

22  72 

670. 

29.5 

90 

2392 

719. 

301 

10.0 

25.12 

767. 

30  5 

11.0 

26.32 

814. 

30.9 

10.2 

817. 

3X3 

5.9 

22.08 

599. 

27.1 

10.2 

610. 

6.0 

22.20 

605. 

27.2 

6.5 

22.80 

630. 

27.6 

70 

23.40 

656. 

28.0 

8.0 

24.60 

705. 

28.7 

9.0 

25.80 

754. 

29.2 

10.0 

27.00 

802. 

29  7 

jll  0 

28.20 

849. 

30.1 

10.2 

858. 

*:* 


40 


TWO  PLATES. 


A 

J 


^-48  FOUR  ANGLES. 


Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  0 D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r2 

Out  to 
Out 
Webs. 

I 

187 

16  X X 

3X3 

5.9 

15.08 

538. 

357 

112 

541. 

188 

6.0 

15.20 

544. 

35.8 

189 

6.5 

15  80 

573. 

36.3 

190 

7.0 

16.40 

603. 

36  7 

191 

8.0 

17.60 

660. 

37.5 

192 

9.0 

18.80 

717. 

38.1 

193 

10.0 

20.00 

773. 

38  6 

194 

11.0 

21.20 

828. 

39.0 

11.2 

829. 

195 

16  X 'A 

3X3 

5.9 

17.08 

580. 

340 

11.1 

588. 

196 

6.7 

18.04 

628. 

34.8 

197 

7.5 

1900 

674. 

355 

198 

8.3 

19  96 

720. 

36.1 

199 

9.2 

21.04 

770. 

36.6 

200 

100 

2200 

815. 

371 

201 

10.8 

22.96 

860. 

375 

202 

11.7 

24-04 

908. 

37.8 

11.1 

912. 

203 

16X^ 

3X3 

5 9 

19  08 

623. 

32  7 

11.0 

631. 

204 

67 

20.04 

671. 

335 

205 

75 

21.00 

716. 

34  1 

206 

8.3 

21.98 

763. 

347 

207 

9-2 

23.04 

813. 

35  3 

208 

100 

24  00 

858. 

35  8 

209 

110.8 

24.96 

903. 

362 

210 

11.7 

26.04 

951. 

365 

11.0 

950. 

211 

16xtV 

3X3 

5.9 

21.08 

666. 

316 

109 

671. 

212 

6.7 

2204 

713. 

32.4 

213 

7.5 

23.00 

759. 

330 

214 

83 

23.96 

805. 

33  6 

215 

9.2 

25.04 

856. 

34  2 

216 

10.0 

26.00 

901. 

346 

217 

108 

26.96 

945. 

35.1 

218 

i 

11.7 

28.04 

994. 

35.4 

109 

985. 

■* 


48 


1 

c 

i 

r 

TWO  PLATES.  A 

. «»/>»  - • • 

8 POUR  ANGLES. 

J 

0 

L 

Two  Web 
Plates, 
Sire  in 
Inches. 

FOUR  ANGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

i i 

r2 

Out  to 
Out 
Webs. 

I 

219 

16XJ4 

3X3 

5.9 

23.08 

708. 

307 

109 

721. 

220 

6.7 

24  04 

756. 

31  4 

221 

7.5 

25.00 

802 

32.1 

222 

83 

25.96 

848. 

32  7 

223 

9.2 

27.04 

898 

33  2 

224 

10.0 

28.00 

943 

337 

225 

10.8 

28.96 

988 

34.1 

226 

11.7 

30.04 

1036 

345 

109 

1035. 

227 

16  X * 

3X3 

100 

30.00 

986. 

32  9 

10.9 

988. 

228 

10.8 

30.96 

1031. 

33  3 

229 

16X^ 

10.0! 

32.00 

j 1029. 

322 

230 

l 

10.8! 

32  96 

1073 

32.6 

231 

liexjj 

100 

34.00 

1071 

31  5 

232 

10.8 

3496 

1116 

31  9 

233 

16X^ 

100 

36.00 

1114 

310 

234 

10.8 

36.96 

1159 

314 

109 

1169. 

235 

X 

00 

rH 

3X3 

59 

2058 

840 

40.8 

12.3 

834. 

236 

6.3 

2106 

871 

414 

237 

7.1 

2202 

932 

423 

238 

79 

22.98 

992 

43  2 

239 

8.8  24.06 

1060 

44  1 

240 

9.6 

25.02 

1119 

44.7 

241 

104 

2598 

1176 

45  3 

242 

11  3 

2706 

1242 

459 

12.6 

1242. 

243 

18X% 

3X3 

5.9 

1 2508 

961. 

383 

12.2 

965. 

244 

6.7 

j 26  04 

1023 

39.3 

245 

7.5 

2700 

1083 

40.1 

246 

8 3 

27.96 

1144 

40  9 

247 

92 

I 29.04 

1210 

417 

248 

iO.O 

30.00 

» 1269. 

423 

249 

10.8 

3096 

l.°27 

42.9 

250 

1 

11.7 

3204 

1391. 

434 

12.4 

1384. 

t 


49 


*- 


TWO  PLATES. 


m 

Jl  0 II 


FOUR  ANGLES. 


Two  Web 
Plate*, 
Site  in 
Inches. 

FOUR  INGLES. 

Total 

Area 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Sise  in 
Inches. 

Lbs.  Per 
Foot. 

1 

I 

r* 

Out  to 
Out 
Webs. 

I 

251 

00 

X 

X 

3 X3 

6.3 

30.06 

1114. 

37.0 

12.1 

1110. 

252 

7.1 

3102 

1175. 

37.9 

253 

7.9 

3198 

1235. 

386 

254 

3%X3% 

8.8 

3306 

1292. 

391 

255 

9.6 

34.02 

1351. 

397 

256 

104 

34.98 

1409. 

40.3 

257 

11.3 

36.06 

1474 

409 

258 

12.1 

37.02 

1531 

41.4 

12.3 

1548. 

259 

18X^ 

3^X3  ft 

8.3 

36.96 

1376 

37.2 

12.1 

1377. 

260 

9.2 

38.04 

1443. 

37.9 

261 

10.0 

3900 

1502- 

38.5 

262 

10.8 

39.96 

1559. 

39.0 

263 

11.7 

41.04 

1624. 

39.6 

264 

12.5 

42.00 

1681. 

40.0 

265 

13.3 

4296 

1737. 

140.4 

266 

14.2 

44.04 

1800 

409 

12.3 

1827. 

267 

21X% 

3%X3% 

8.3 

30.96 

1680 

54.3 

14.3 

1675 

268 

9.2 

32.04 

1775 

55.4 

269 

10.0 

33.00 

1858. 

56.3 

270 

10.8 

33.96 

1940 

57.1 

■ 

271 

11.7 

35.04 

2032. 

58.0 

272 

125 

36.00 

2113. 

58.7 

273 

13.3 

36.96 

2193 

59.3 

274 

14.2 

38.04 

2282. 

60.0 

14.6 

2282. 

275 

21 X# 

3%X3% 

8.3 

3621 

1873. 

51.7 

14  2 

1877. 

276 

9.0 

37.05 

1946. 

525 

277 

98 

38.01 

2029. 

534 

278 

10.6 

3897 

2113 

54.2 

279 

11.5 

40.05 

2203 

550 

280 

12.3 

4101 

2284. 

557 

281 

13.1 

4197 

2367. 

564 

282 

14.0 

4305 

2454 

570 

14.5 

2470 

M 


50 


Cl. 


TWO  PLATES. 


1 

A 


r 

8 

0 L 


FOUR  ANGTjES. 


Two  Web 

Plate*, 
Size  in 
Inche*. 

FOUR  INGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r* 

Out  to 
Out 
Webs. 

I 

283 

2lX% 

3%X3X 

8.8 

4206 

2119 

50.4 

i 

142 

2133. 

284 

9.6 

4302 

2202. 

512 

285 

10.4 

43.98 

2285 

51.9 

280 

11.3 

45.06 

2377. 

52.8 

287 

12.1 

46.02 

' 2458- 

534 

288 

12.9 

46.98 

2539. 

54.0 

289 

13.8 

48.06 

2029- 

547 

290 

14,6 

49  02 

2707. 

55  2 

144 

2713. 

291 

22  X%. 

4X4 

9.5 

33.40 

2013. 

60.3 

15.0 

2025. 

292 

13.4 

38.08 

2451. 

64.4 

293 

16.7 

4204 

2809  1 

60.8 

294 

19.5 

45.40 

3105- 

| | 

68.4 

15.3 

3139. 

295 

22X#  1 

4X4 

9.5 

38.90 

2235- 

57.5 

1 14.8 

2231. 

296 

13.4 

43.58 

2673. 

61.3 

297 

16.7 

47.54 

3031- 

63.8 

298 

19.5 

5090 

3326. 

65.4 

15.1 

3333. 

299 

22XM- 

4X4 

9.5 

44.40 

2457. 

55.3 

14.7 

2446. 

300 

13.4 

49.08 

2895. 

59.0 

301 

16.7 

53.04 

3253- 

61.3 

302 

195 

56.40 

3548 

62.9 

15.0 

3548. 

303 

22X^ 

4X4  [ 

95 

49.90 

2679. 

537 

147 

2682. 

304 

13.4 

54.58 

3116. 

57.1 

305 

16.7 

58.54 

3475 

59.4 

300 

19.5 

01.90 

3770 

60.9 

149 

3740 

307 

22X1 

4X4 

9.5 

55.40 

2900 

52.4 

14.7 

2908. 

308 

13.4 

60.08 

3338. 

55  6 

* 

309 

j 

16.7 

64.04 

3690.; 

57.7 

310 

| 

19.5 

07.40 

3992 

59.2 

14.9 

3979. 

51 


*- 


TWO  PLATES. 


A 

J 


r 

8 


FOUR  ANGLES. 


Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 

Area, 

Square 

Inches. 

AXIS  A B. 

AXIS  C D. 

Size  in 
Inches. 

Lbs.  Per 
Foot. 

I 

r? 

Out  to 
Out 
Webs. 

I 

311 

22X 1 % 

4X4 

9.5 

66-40 

3344. 

50.4 

14.7 

3334. 

312 

13.4 

71.08 

3782. 

53.2 

313 

16.7 

75.04 

4140. 

55.2 

314 

19.5 

78.40 

4436. 

56.6 

14.9 

4420. 

315 

22X1% 

4X4 

9.5 

77.40 

3788. 

48.9 

14.8 

3780. 

316 

13.4 

82.08 

4226- 

51  5 

317 

18.7 

86.04 

4584. 

53  3 

318 

195 

89.40 

4879. 

54.6 

15.0 

4890. 

319 

24;  X/^ 

4X4 

95 

35.40 

2514. 

71.0 

16.3 

25C0. 

320 

13.4 

40.08 

3046. 

76  0 

321 

16.7 

4404 

3483. 

79.1 

322 

195 

47.40 

3844. 

81.1 

16.8 

3858. 

323 

24X  % 

4X4 

95 

41.40 

2802 

67.7 

16.1 

2778. 

324 

134 

4608 

3334 

72.4 

325 

16.7 

5004 

3771. 

75.4 

326 

19.5 

5340 

4132. 

77.4 

10.6 

4133. 

327 

24X^ 

4X4 

9.5 

47.40 

3090. 

652 

16  0 

3065. 

328 

13.4 

52.08 

3622. 

696 

329 

16.7 

5604 

4059. 

72.4 

330 

19.5 

59.40 

4420. 

74.4 

165 

4429. 

331 

24X  Yi 

4X4 

9.5 

53.40 

3378. 

63.3 

16  0 

3375. 

332 

13.4 

5808 

3910. 

67.3 

333 

16.7 

62.04 

4347 

70.1 

334 

195 

65.40 

4708. 

720 

16.4 

4706. 

335 

24X1 

4X4 

9.5 

59.40 

3666. 

61.7 

16.0 

3674. 

336 

13.4 

64  08 

4198. 

65.5 

337 

16.7 

68.04 

4635. 

68.1 

338 

19.5 

71.40 

4996. 

70.0 

16.4 

5023 

■>r 


52 


TWO  PLATES. 


1 ? 

Aj  • > [B  FOUR  ANGLES. 

J!  d IL 


Two  Web 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total 
Area,  | 
Square  j 
Inches,  | 

AXIS  A B. 

AXIS  C D. 

Size  in  Lbs.  Per 
Inches.  | Foot. 

1 

r* 

Out  to 
Out  1 
Webs.  ! 

I 

339 

24X1X 

4X4  9.5 

71.40 

4242. 

594 

16  04241. 

340 

13  4 

76.08 

4774. 

628 

341 

16  7 

8004 

5211. 

65.1 

342 

19  5 

83.40 

5572. 

66.8 

16.3 

5556. 

343 

24X1% 

4X4  95 

83.40 

4818. 

57.8 

16.1 

4831. 

344 

13.4 

88.08 

5350. 

60  7 

345 

16.7 

92  04 

5787. 

629 

346 

195 

95  40 

6148 

645 

16.46182. 

347 

27X% 

4X4  95 

38.40 

3399. 

88.5 

18.4 

34C0. 

348  i 

13.4 

43.08 

4091. 

95.0 

349 

16.7 

47.04 

4660. 

991 

350 

19  5 

50.40 

5133. 

101.8 

19.1 

5154. 

351 

27  X% 

4X4  9.5 

5190 

4219 

81.3 

18.04205. 

352  ; 

134 

5658 

4911 

86  8 

353! 

16.7 

6054 

5480. 

90  5 

354 1 

19.5 

63  90 

5953. 

93.2 

18.6 

5920. 

355 

27X1 

4X4  9.5 

6540 

1 5040 

77.1 

18.0 

5096. 

356 

13.4 

70.08 

5731. 

81.8 

357 

16.7 

7404 

6301. 

851 

358 

19.5 

77.40 

6773. 

87.5 

185 

6806. 

359 

27X1% 

4X4  9 5 

7890 

5860. 

743 

17.9 

5865. 

360 

13.4 

8358 

6551 

78.4 

361 

16.7 

87.54 

7121 

81.3 

362 

195 

9090 

7593. 

835 

18.4 

7615. 

363 

27X1 % 

4X4  9.5 

9240 

6680 

72.3 

17.9 

6635. 

364 

13.4 

97  08 

7371. 

75  9 

365 

i 16.7 

10104 

7941. 

78.6 

366 

| 19.5 

104.40 

8413. 

80.6 

18.4 

8437 

■* 


53 


FOUR  PLATES. 


FOUR  ANGLES. 


Two  Web 
Plates, 
Size  in 
Inches. 

Two  Sid* 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total  Area 
in 

Square 

Inches. 

AXIS  A B. 

Out  to 
Out  of 
Webs 
for 
Equal 

Size  in 
Inches. 

Lbs. 

per  foot. 

I 

r 2 

1 

22X  X 

13X  '/i 

4X4 

9.5 

46.40 

2196 

47.33 

13.2 

2 

13.4 

51  OB 

2634 

51.57 

3 

16.7 

5504 

2992 

54  36 

4 

19.5 

58.40 

3288 

5630 

13.8 

5 

22  X H 

13Xj6 

4X4 

9.5 

53.53 

2441 

45.60 

13.1 

6 

13.4 

58.21 

2879 

49  46 

7 

16.7 

62.17 

3237 

52  07 

8 

19.5 

65  53 

3532 

53.91 

13.7 

9 

22  X 

13x# 

4X4 

95 

60  65 

2686 

44.28 

13.0 

10 

13.4 

65.33 

3123 

47.81 

11 

16.7 

69  29 

3482 

50  25 

12 

195 

72.65 

3777 

51.99 

13.6 

13 

22  X Ji 

13XH 

4X4 

9.5 

67.78 

2930 

4323 

13.0 

14 

13.4 

72.46 

3368 

46  49 

•15 

16.7 

7642 

3726 

4876 

16 

19.5 

79.78 

4022 

50.42 

13.5 

17 

22X1 

18X^ 

4X4 

9.5 

74.90 

3175 

42.39 

13.0 

18 

13.4 

79.58 

3613 

45.40 

19 

16.7 

83.54 

3971 

47.54 

20 

19.5 

86.90 

4267 

49.10 

13.5 

21 

22X 1 

18XH 

4X4 

9.5 

87.53 

3642 

4161 

13.1 

22 

134 

92  21 

4079 

44  24 

23 

16.7 

96.17 

4438 

46.15 

24 

19.5 

99.53 

4733 

47.56 

13.6 

25 

22X1 X 

13X  7/s 

4X4 

9.5 

100.15 

4108 

41.02 

13.2 

26 

13.4 

104.83 

4546 

43  36 

27 

16.7 

10879 

4904 

45.08 

28 

19.5 

112.15 

5200 

46  36 

13.6 

54 


POUR  PLATES.  A 


m 


8 FOUR  ANGLES. 


Two  Web 
Plates, 
Size  in 
Inches. 

Two  Side 
Plates, 
Size  in 
Inches. 

FOUR  ANGLES. 

Total  Area 
in 

Square 

Inches. 

AXIS  A B. 

Out  to 
Out  of 
Webs 
for 
j Equal 

Size  in 
Inches. 

Lbs. 

per  foot. 

I 

r 2 

29 

24X  % 

]-r>X44 

4X4 

9.5 

5040 

2795 

55.46 

14.4 

30 

13.4 

55.03 

3327 

60-40 

31 

16.7 

59-04 

3764 

63.75 

32 

19.5 

6240 

4126 

66.15 

15.2 

33 

24  X H 

lox* 

4X4 

9.5 

58.28 

3118 

53.50 

14.3 

34 

134 

62  96 

3651 

58.00 

35 

167 

66.92 

4087 

61.08 

36 

19.5 

70.28 

4449 

63.31 

15.0 

37 

24  X Y 

15X44 

4X4 

9.5 

6615 

3441 

52.02 

14.2 

38 

13.4 

70.83 

3974 

56.10 

39 

* 

16.7 

74  79 

4411 

58.97 

40 

19.5 

78.15 

4772 

61.06 

14.9 

41 

24  X Y 

15  X H 

4X4 

9.5 

74  03 

3764 

5086 

14.1 

42 

13.4 

78.71 

4297 

54.60 

43 

16.7 

82.67 

4734 

57.26 

41 

19.5 

86.03 

5095 

59.23 

14.8 

45 

24X1 

15X44 

4X4 

9.5 

81.90 

4088 

49.91 

14.1 

46 

13.4 

89.58 

4620 

5336 

47 

16.7 

90.54 

5057 

55.85 

48 

19,5 

93.90 

5418 

57.70 

14.7 

49 

24X  1 % 

| 15X1 J 

4X4 

9.5 

95.78 

4699 

49.06 

14.2 

50 

13.4 

100.46 

5231 

5207 

51 

16  7 

10442 

5668 

54.28 

52 

195 

107.78 

6029 

55.94 

14.7 

53 

24X144 

; i5  xy 

4X4 

9.5 

109  65 

5310 

48.43 

14.4 

54 

13  4 

114.33 

5842 

51.10 

55 

16.7 

118.29 

6279 

5308 

56 

19  5 

121.65 

6640 

54  58 

14.8 

*- 


55 


0) 

LU 

J 

0 

z 

< 

ft 

D 

0 

lL 


L-  g .J 


r < n 


(f) 

LU 

h 

< 

J 

ft 

UJ 

UJ 

ft 

I 

h 


AXIS  C D. 

H 

OJNOOOOH^IO 

cocdr^ddcdtdd  ddcMot^tdoocdto 

(M  o GO  O W ^ CD  OJlONfNOCONCOO 

T^TtirJHT}HLOiOiO»0  COt>t>OOOOOOOOOOOa 

pa 

1 

E-i 

H 

OilXNCDCOiCMO  OO  <M  CO  CO  tO  CO  05  CO  Oa 

HCOlOCONHlMH  HCO^COCDCOOOCI 

O O CO  CO  CO  N N CO  CO  (M  (N  (N  N CO  (N  W 

OOOOOOOO  hhhhhhhhh 

Excen- 

tricity. 

hhoooooo  oooooor-<OrH 
to  to  to  to  TjH  to  to  tJH  O OOOOOOOO 

OOOOOOOO  HHHrtrtrHrHrtH 

PQ 

GO 
1 — i 

X 

eq 

rtio6oirHp-ldoSo 

cq  <M  <N  <N  <M  <N  r-H  cq  CO  CO  00  CO  CO  CO  CO  CO  CO 

H 

coqcococoTjHoqto 

oa  hh  as  co  oo  *-3  to  oo  d o d hh  oo  d co 

iM^iONOOO^tN  tCCJCONiCNO^CD 

COCOI>-t^t^r^OOCOOO 

Total  Area, 
square  inches. 

QOCO^CqONOOO  10  (5)  t>  Ob  00  00  00  rH  ® 
bH^qcocoq^  qqoc^ocsiao 

I>  ci  d iH  CO  Ttt  CD  CO  d rH  pH  oi  CO  ^ LO  io 

rH  pH  (M  (M  W cq  (M  (M  «H  <N  <N  <M  <N  (M  (N  <M  (M 

BOTTOM  ANGLE. 

Lbs.  per  ft. 

cj  r>.  tc  cc  h oo  cq  o co  ^ cm  ca  ao#  cm  oo  hh 

00  00  00  00  od  I>1  00  00  05  d O d O O T-H  1-3 

l — 1 rH  r— 1 H H H 

Size  in  inches. 

CO 

X ^ 

\N  A 

CO 
CM 

TOP  ANGLE. 

Lbs.  per  ft. 

°>  CO  caOOCaoataH^oaHH 

^ to  to*  to  cd  »o  co  to’  cd 

Size  in  inches. 

X 

CM  CO 

X X 

Nn  CO 

CM 

Top  Plate. 
Size  m inches. 

X X < * 

X XXX 

Tf  I-  t-  t- 

rH  i— f t— 1 rH 

Two  Web 
Plates. 

Size  in  inchrs. 

'it  “S 

XXXXXXXX  X X 

CM  CM  CM  CM  CM  CM  CM  CM  'H  ^ 

r— 1 r— 1 i— 1 i— ( i—i  rH  rH  i — 1 rH  i— ( 

t— !<MCOHHtOC0  1"*GO  OOHCMCO^tOCDN 

H rH  i— H rH  rH  rH  tH  rH 

' 


56 


* V 


t^rHi—lC<l00  00I>-*O<MO5t'-rHO}C5rHrHLOc©O5 
rHOH05C000C5'^,05L^WC0C00005Tji00  00  C0 
050)O05OOOHriH^(M(MC'l'MC0C0C0t 
i—l  rlHHHnnrlrtrlHrirlHHH 

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THREE  PLATES.  A B FOUR  ANGLES. 


CD 

s 

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WQO'^OlOlCCOOO'^N^HOO'TOlOCCH 

iOO^OOOJ»OOOCOW^OCOHlMN(OHN 

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tricity. 

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58 


io  th  oo  a co  o co  co 
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CO 

CO 

N[° 

X 

\* 

V* 

\ 

X 

X 

X 

X 

to 

*o 

■c 

CC 

CM 

CM 

CM 

X 

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CM 

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CM 

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CO  t T T 

69 


* 


VALUES  OF  ^ L pen,gthln.peet',  . 

r2  r=Radius  of  Gyration  in  Inches. 


r 2 
in 

LENGTH  IN  FEET. 

Inches. 

8 

10 

12 

14 

15 

16 

18 

20 

22 

24 

26 

0.0 

0.1 

640 

lOOO 

1440 

1960 

0.2 

320 

500 

720 

980 

0.3 

213 

333 

480 

653 

750 

0.4 

160 

250 

360 

490 

562 

640 

0.5 

128 

200 

288 

392 

450 

512 

648 

0.6 

107 

167 

240 

327 

375 

427 

540 

667 

0.7 

91 

143 

206 

280 

321 

366 

463 

572 

692 

0.8 

80 

125 

180 

245 

281 

320 

405 

500 

605 

720 

0.9 

71 

111 

160 

218 

250 

284 

360 

444 

538 

640 

751 

1.0 

64 

100 

144 

196 

225 

256 

324 

400 

484 

576 

676 

1.1 

58 

91 

131 

178 

205 

233 

295 

364 

440 

524 

615 

1.2 

53 

83 

120 

163 

187 

213 

270 

333 

403 

480 

563 

1.3 

49 

77 

111 

151 

173 

197 

249 

308 

372 

443 

520 

1.4 

46 

71 

103 

140 

161 

183 

231 

286 

346 

411 

483 

1.5 

43 

67 

96 

131 

150 

171 

216 

267 

323 

384 

451 

1 6 

40 

62 

90 

122 

141 

160 

202 

250 

302 

360 

422 

1.7 

38 

59 

85 

115 

132 

151 

191 

235 

285 

339 

398 

1.8 

36 

56 

80 

109 

125 

142 

180 

222 

269 

320 

376 

1.9 

34 

53 

76 

103 

118 

135 

171 

211 

255 

303 

356 

2.0 

32 

50 

72 

98 

112 

128 

162 

200 

242 

288 

338 

2.1 

30 

48 

69 

93 

107 

122 

154 

191 

231 

274 

322 

2.2 

29 

45 

65 

89 

102 

116 

147 

182 

220 

262 

307 

2.3 

28 

43 

63 

85 

98 

112 

141 

174 

210 

250 

294 

2.4 

27 

42 

60 

82 

94 

107 

135 

167 

202 

240 

282 

2.5 

26 

40 

58 

78 

90 

102 

130 

160 

194 

230 

270 

2.6 

25; 

38 

55  | 

75 

87 

98 

125 

154 

186 

222 

260 

2.7 

24 

37 

53 

73 

83 

95 

120 

148 

179 

213 

250 

2.8 

23 

36 

51  1 

70 

80 

91 

116 

143 

173 

206 

241 

2.9 

22 

I 

34 

50 

68 

78 

88 

112 

138 

167 

199 

233 

3.0 

21 

33 

48 

65 

75 

85 

108 

133 

161 

192 

225 

3.1 

21 ! 

32 

46 

63 

73 

83 

105 

129 

156 

186 

218 

3.2 

201 

31 

45 

61 

70 

80 

101 

125 

151 

180 

211 

3.3 

!9 

30 

44 

59 

68 

78 

98 

121 

147 

175 

205 

3.4 

19 

29 

42 

58 

66 

75 

95 

118 

142 

169 

199 

3.5 

18 

29 

41 

56 

64 

73 

93 

114 

138 

165 

193 

3.6 

18 

28 

40 

54 

62 

71 

90 

111 

134 

160 

188 

3.7 

17 

27 

39 

53 

61 

69 

88 

108 

131 

156 

183 

3 8 

17 

26 

38 

52 

59 

67 

85 

105 

127 

152 

178 

3.9 

16 

26 

37 

50 

58 

66 

83 

103 

124 

148 

173 

4.0 

16 

25 

36 

49 

56 

64 

81 

100 

121 

144 

169 

4.1 

16 

24 

35 

48 

55 

62 

79 

98 

118 

141 

165 

4.2 

15 

24 

34 

47 

54 

61 

77 

95 

115 

137 

161 

4.3 

15 

23 

34 

46 

52 

60 

75 

93 

113 

134 

157 

4.4 

15 

23 

1 33 

45 

51 

58 

74 

91 

110 

131 

154 

70 


P L=Length  in  Feet. 
r2  r=Radius  of  Gyration  in  Inches. 


LENGTH  IN  FEET. 

r2 

in 

28 

30 

32 

34 

36 

38 

40 

42 

44 

1 46 

48 

50 

Inches. 

0 0 

0.1 

0 2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

784 

1.0 

713 

818 

1.1 

053 

750 

853 

1.2 

603 

692 

788 

889 

1.3 

500 

643 

731 

826 

926 

1.4 

523 

600 

683 

771 

864 

963 

1.5 

490 

562 

040 

723 

810 

903 

1.0 

461 

529 

002 

680 

762 

849 

941 

1.7 

436 

500 

569 

642 

720 

802 

889 

980 

1.8 

413 

474 

539 

608 

682 

760 

842 

928 

1.9 

392 

450 

512 

578 

648 

722 

800 

882 

968 

2.0 

373 

429 

488 

551 

617 

688 

762 

840 

922 

2.1 

350 

409 

466 

526 

589 

656 

727 

802 

880 

962 

2.2 

341 

391 

445 

503 

564 

628 

696 

767 

842 

920 

2.3 

327 

375 

427 

482 

540 

602 

607 

735 

807 

882 

900 

2.4 

314 

360 

410 

462 

518 

578 

640 

706 

774 

846 

922 

2.5 

302 

346 

394 

445 

498 

555 

615 

678 

745 

814 

886 

962 

2.6 

290 

333 

379 

428 

480 

535 

593 

653 

717 

784 

853 

926 

2.7 

280 

321 

366 

413 

463 

516 

571 

630 

691 

756 

823 

893 

2.8 

270 

310 

353 

399 

447 

498 

552 

608 

668 

730 

795, 

862 

2.9 

261 

300 

341 

385 

432 

481 

533 

588 

645 

705 

768 

833 

3.0 

253 

290 

330 

373 

418 

466 

516 

569 

625 

083 

743 

80  0 

3.1 

245 

281 

320 

361 

405 

451 

500 

551 

605 

661 

720 

781 

3.2 

238 

273 

310 

350 

393 

438 

485 

535 

587 

641 

698 

758 

3.3 

231 

265 

301 

340 

381 

425 

471 

519 

509 

622 

678 

735 

3.4 

224 

257 

293 

330 

370 

413 

457 

504 

553 

605 

658 

714 

3.5 

218 

250 

284 

321 

360 

401 

444 

490 

538 

588 

640 

695 

3.6 

212 

243 

277 

312 

350 

390 

433 

477 

523 

572 

623 

676 

3.7 

206 

237 

209 

304 

341 

380 

421 

464 

509 

557 

600 

058 

3.8 

201 

231 

263 

290 

332 

370 

410 

452 

496 

543 

591 

641 

3.9 

196 

225 

256 

289 

324 

361 

400 

441 

484 

529 

576 

625 

4.0 

191 

220 

250 

282 

3 j.6 

352 

390 

430 

472 

516 

562 

610 

4.1 

187 

214 

244 

275 

309 

344 

381 

420 

461 

504 

549 

595 

4.2 

182 

209 

238 

269 

301 

336 

372 

410 

450 

492 

530 

581 

4.3 

178 

205 

233 

263 

295 

328 

364 

401 

440 

481 

524 

508 

4.4 

( 


71 


-* 


T 2 

in 


VALUES  OF  — L=L®g‘hinP^ 


r=Radius  of  Gyration  in  Inches. 


LENGTH  IN  FEET. 


Inches. 

8 

10 

12 

14 

15 

16 

18 

20 

22 

24 

26 

4.5 

14 

22 

32 

44 

50 

57 

72 

89 

108 

128 

150 

4.6 

14 

22 

31 

43 

49 

56 

70 

87 

105 

125 

147 

4.7 

14 

21 

31 

42 

48 

55 

69 

85 

103 

123 

144 

4.8 

13 

21 

30 

41 

47 

53 

67 

83 

101 

120 

141 

4.9 

13 

20 

29 

40 

46 

52 

66 

82 

99 

118 

138 

5.0 

13 

20 

29 

39 

45 

51 

65 

80 

97 

115 

135 

5.1 

13 

20 

28 

38 

44 

50 

64 

78 

95 

113 

133 

5.2 

12 

19 

28 

38 

43 

49 

62 

77 

93 

111 

130 

5.3 

12 

19 

27 

37 

42 

48 

61 

75 

91 

105 

128 

5.4 

12 

19 

27 

36 

42 

47 

60 

74 

90 

107 

125 

5.5 

12 

18 

26 

36 

41 

47 

59 

73 

88 

105 

123 

5.6 

11 

18 

26 

35 

40 

46 

58 

71 

86 

103 

121 

5.7 

11 

18 

25 

34 

39 

45 

57 

70 

85 

101 

119 

5.8 

11 

17 

25 

34 

39 

44 

56 

69 

83 

99 

117 

5.9 

11 

17 

24 

33 

38 

43 

55 

68 

82 

98 

115 

6.0 

11 

17 

24 

33 

37 

43 

54 

67 

81 

96 

113 

6.1 

10 

16 

24 

32 

37 

42 

53 

66 

79 

94 

111 

6.2 

10 

16 

23 

32 

36 

41 

52 

65 

78 

63 

109 

6.3 

10 

16 

23 

31 

36 

41 

51 

63 

77 

91 

107 

6.4 

10 

16 

23 

31 

35 

40 

51 

62 

76 

90 

106 

6.5 

10 

15 

22 

30 

35 

39 

50 

62 

74 

89 

104 

6.6 

10 

15 

22 

30 

34 

39 

49 

61 

73 

87 

102 

6.7 

10 

15 

21 

29 

34 

38 

48 

60 

72 

86 

i 101 

6.8 

9 

15 

21 

29 

33 

38 

48 

59 

71 

85 

! 99 

6.9 

9 

14 

21 

28 

33 

37 

47 

58 

70 

83 

98 

7.0 

9 

14 

21 

28 

32 

37 

46 

57 

69 

82 

97 

7.1 

9 

14 

20 

28 

32 

36 

46 

56 

68 

81 

95 

7.2 

9 

14 

20 

27 

31 

36 

45 

56 

67 

80 

94 

7.3 

9 

14 

20 

27 

31 

35 

44 

55 

66 

79 

93 

7.4 

9 

14 

19 

26 

30 

35 

44 

54 

65 

78 

91 

7.5 

9 

13 

19 

26 

30 

34 

43 

53 

65 

77 

90 

7.6 

8 

13 

19 

26 

30 

34 

43 

53 

64 

76 

89 

7.7 

8 

13 

19 

25 

29 

33 

42 

52 

63 

75 

88 

7.8 

8 

13 

18 

25 

29 

33 

42 

51 

62 

74 

87 

7.9 

8 

13 

18 

25 

28 

32 

41 

51 

61 

73 

86 

8.0 

8 

12 

18 

25 

28 

32 

41 

50 

61 

72 

85 

8.1 

8 

12 

18 

24 

28 

32 

40 

49 

60 

71 

83 

8.2 

8 

12 

18 

24 

27 

31 

40 

49 

59 

70 

82 

8.3 

8 

12 

17 

24 

27 

31 

39 

48 

58 

69 

81 

8.4 

8 

! 12 

17 

23 

27 

30 

39 

48 

58 

69 

80 

8.5 

8 

12 

17 

23 

26 

30 

38 

47 

57 

68 

80 

8.6 

7 

12 

17 

23 

26 

30 

38 

47 

56 

67 

79 

8.7 

7 

11 

17 

23 

26 

29 

37 

46 

56 

66 

78 

8.8 

7 

l 11 

1 16 

22 

26 

29 

37 

45 

55 

65 

77 

8.9 

7 

11 

161  22 

25 

29 

38 

45 

54 

65 

76 

-* 


72 


r 

VALUES  OF  L_ 

r2  r= 

=Length  in  Feet. 
:Radius  of  Gyration  in 

Inches. 

LENGTH  IN  FEET. 

r 2 
in 

28 

30 

32 

34 

00 

00 

CO 

CO 

40 

42 

1 © 

; 48 

50 

Inches. 

174 

200 

228 

257 

288  321 

356 

392 

430  470 

512 

' 556 

4.5 

170 

196 

223 

251 

282  314  348 

384 

421  460 

501 

i 544 

4.6 

167 

192 

218 

246 

276  307  340 

I 375 

412  450 

490 

532 

4.7 

163 

188 

213 

241 

270  301 

333 

! 368 

403  441 

480 

521 

4.8 

160 

184 

209 

236 

265  295  327 

1 360 

| 

: 395  432 

470 

510 

4.9 

157 

180 

205 

231 

259  289  320 

1353 

387  423 

461 

500 

5.0 

154 

176 

201 

227 

254  283  314 

346 

380  415 

452 

490 

5.1 

151 

173 

197 

222 

249  278  308 

! 339 

372  407 

443 

481 

5.2 

148 

170 

193 

218 

245  273  302 

1 333 

365  399 

435 

472 

5.3 

145 

167 

190 

214 

240^  267 

296 

|327 

359  392 

427 

463 

5.4 

143 

164 

186 

210 

236  263 

291 

321 

352  385 

419 

455 

5.5 

140 

161 

183 

206 

231  258  286 

315 

346  378 

1 411 

440 

5.6 

138 

158 

180 

203 

227  253  281 

309 

,340  371 

404 

439 

i 57 

135 

155 

177 

199 

223  249  276 

304 

334  365 

! 397 

431 

1 5 8 

133 

153 

174 

196 

220  245  271 

! 299 

, 328  359 

| 391 

424 

5.9 

131 

150 

171 

193 

216  241 

267 

294 

323  353 

' 384 

417 

6.0 

129 

148 

168 

190 

212  237 

262 

289 

317  347 

378 

410 

6.1 

126 

145 

165 

186 

209  233  258 

285 

312  341 

! 372 

403 

0.2 

124 

143 

163 

184 

l 206  229 

254 

280 

307  336 

366 

397 

6.3 

123, 

141 

160 

I181 

203  226  250 

276 

1 303  331 

j 360 

,391 

6.4 

121 

138 

158 

178 

1 199  222  246 

271 

! 298  320 

355 

385 

0.5 

119 

136 

155 

175 

196  219  242 

267 

; 293  321 

1 349 

, 379 

0.6 

117 

134 

153 

173 

193  216  239 

263 

289  316 

344 

1 373 

6.7 

115! 

132 

151 

170 

191  212  235 

259 

285  31 1 

339 

|368 

6.8 

114 

: 130 

148 

1 

108 

188  209,  232 

256 

,281  307 

; 334 

362 

6.9 

112' 

129 

146 

165' 

185  206 

229 

252 

277*  302 

329 

357 

7.0 

lio 

127 

144 

1631 

183  203  225 

! 248 

i 273  298 

325 

352 

7.1 

109 

125 

142 

161 

180  201' 

222 

I 245 

209  294 

| 320 

347 

7.2 

107| 

123 

140 

158 

! 178  198  219 

! 242 

265  290 

! 316 

342 

7.3 

106! 

122 

138 

156 

175  195  216 

238 

262  286 

3111 

338, 

7.4 

105' 

120 

1371 

.154 

173  193  213 

235 

258  282 

307 

333 

7.5 

103 

118 

135 

152 

171  190  211 

232 

255  278 

303 

329 

7.0 

1021 

117 

133 

150 

168  188  208 

229 

251  275 

299 

325, 

7.7 

101 

115 

131 

148 

166  185  205' 

220 

248  271 

295 

321 

7.8 

99 

114 

130 

146, 

164  183 

1 

2031 

223 

245  268 

292 

316 

7.9 

98 

113 

128 

145 

162  182  200 

22l' 

242  265 

288 

1 

313 

8.0 

97 

111 

126) 

143 

160  178 

198 

218 

239  261 

284! 

309 

8.1 

96 

110 

125 

141 

158  176 

195, 

2151 

230  258 

281 

305 

8.2 

94 

108 

123 

139 

156  174 

193 

213 

233  255| 

278! 

301 

8.3 

93 

107 

122 

138 

154  172 

191 

210| 

230  252 

274 

298 

8.4 

92 

106 

120 

136' 

152  170* 

188 

208 

228  249 

271 

294| 

8.5 

91 

105 

119 

134 

151  168 

186) 

205 

225  246 

208 

291 

8.0 

g° 

103 

118 

133 

149  166!  184 

203 

223  243 

265 

287 

8.7 

89! 

102 

116i 

131! 

147  164 

182! 

200 

220  240 

262 

284 

8.8 

88 

101 

115; 

130 

140  102 

1801 

198 

21 81  238 

259 

281' 

8.9 

73 


VALUES  OF 


L2  L=Length  in  Feet. 
r2  r==Radius  of  Gyration  in  Inches. 


X*  2 

in 


LENGTH  IN  FEET. 


Inches. 

8 

10 

12 

14 

15 

16 

18 

20 

22 

24 

26 

9.0 

7 

11 

16 

22 

25 

28 

36 

44 

54 

64 

75 

9.1 

7 

11 

16 

22 

25 

28 

36 

44 

53 

63 

74 

9.2 

7 

11 

16 

21 

24 

28 

35 

43 

53 

63 

73 

9.3 

7 

11 

15 

21 

24 

28 

35 

43 

52 

62 

73 

9.4 

7 

11 

15 

21 

24 

27 

34 

43 

52 

61 

72 

9.5 

7 

11 

15 

21 

24 

27 

34 

42 

51 

61 

71 

9.6 

7 

10 

15 

20 

23 

27 

34 

42 

50 

60 

70 

9.7 

7 

10 

15 

20 

23 

26 

33 

41 

50 

59 

70 

9.8 

7 

10 

15 

20 

23 

26 

33 

41 

49 

59 

69 

9.9 

6 

10 

15 

20 

23 

26 

33 

40 

49 

58 

68 

10.0 

6 

10 

14 

20 

23 

26 

32 

40 

48 

58 

68 

10.1 

6 

10 

14 

19 

22 

25 

32 

40 

48 

57 

67 

10.2 

6 

10 

14 

19 

22 

25 

32 

39 

47 

56 

66 

10.3 

6 

10 

14 

19 

22 

25 

31 

39 

47 

56 

66 

10.4 

6 

10 

14 

19 

22 

25 

31 

38 

47 

55 

65 

10.5 

6 

10 

14 

19 

21 

24 

31 

38 

46 

55 

64 

10.6 

6 

9 

14 

18 

21 

24 

31 

38 

46 

54 

64 

10.7 

6 

9 

13 

18 

21 

24 

30 

37 

45 

54 

63 

10.8 

6 

9 

13 

18 

21 

24 

30 

37 

45 

53 

63 

10.9 

6 

9 

13 

18 

21 

23 

30 

37 

44 

53 

62 

11.0 

6 

9 

13 

18 

20 

23 

29 

36 

44 

52 

61 

11.1 

6 

9 

13 

18 

20 

23 

29 

36 

44 

52 

61 

11.2 

6 

9 

13 

18 

20 

23 

29 

36 

43 

51 

60 

11.3 

6 

9 

13 

17 

20 

23 

29 

35 

43 

51 

60 

11.4 

6 

9 

13 

17 

20 

22 

28 

35 

42 

51 

59 

11.5 

6 

9 

13 

17 

20 

22 

28 

35 

42 

50 

59 

11.6 

6 

9 

12 

17 

19 

22 

28 

34 

42 

50 

58 

11.7 

5 

9 

12 

17 

19 

22 

28 

34 

41 

49 

58 

11.8 

5 

8 

12 

17 

19 

22 

27 

34 

41 

49 

57 

11.9 

5 

8 

12 

16 

19 

22 

27 

34 

41 

48 

57 

12.0 

5 

8 

12 

16 

19 

21 

27 

33 

40 

48 

56 

12.5 

5 

8 

12 

16 

18 

20 

26 

32 

39 

46 

54 

13.0 

5 

8 

11 

15 

17 

20 

25 

31 

37 

44 

52 

13.5 

5 

7 

11 

15 

17 

19 

24 

30 

36 

43 

50 

14.0 

5 

7 

io 

14 

16 

18 

23 

29 

35 

41 

48 

14.5 

4 

7 

10 

14 

16 

18 

22 

28 

33 

40 

47 

15.0 

4 

7 

10 

13 

15 

17 

22 

27 

32 

38 

45 

15.5 

4 

6 

9 

13 

15 

17 

21 

26 

31 

37 

44 

16.0 

4 

6 

9 

12 

14 

16 

20 

25 

30 

36 

42 

16.5 

4 

6 

9 

12 

14 

16 

20 

24 

29 

35 

41 

17.0 

4 

6 

8 

12 

13 

15 

19 

24 

28 

34 

40 

17.5 

4 

6 

8 

11 

13 

15 

19 

23 

28 

33 

39 

18.0 

4 

6 

8 

11 

13 

14 

18 

22 

27 

32 

38 

18.5 

3 

5 

8 

11 

12 

14 

18 

22 

26 

31 

37 

19.0 

3 

1 5 

8 

10 

12 

13 

17 

21 

25 

i 30 

36 

74 


VALUES  OP 

r2 

L= 

=Length  m Feet. 
=Radius  of  Gyration  in 

Inches. 

LENGTH  IN  FEET. 

V 

I 

r 2 
1 in 

28 

30 

32 

34 

36 

38 

40 

42 

44 

46 

48 

50 

Inches. 

1 

87 

100 

114 

128 

144 

160 

178 

196 

215 

235 

256 

278 

9.0 

86 

99 

113 

127 

142 

159 

176 

194 

213 

233 

253 

275 

9.1 

85 

98 

111 

126 

141 

157 

174 

192 

210 

230 

250 

272 

! 9.2 

84 

97 

110 

124 

139 

155 

172 

190 

208 

228 

248 

269 

9.3 

83 

96 

109 

123 

138 

154 

170 

188 

206 

225 

245 

266 

9.4 

83 

95 

108 

122 

136 

152 

168 

186 

204 

223 

243 

263 

9.5 

82 

94 

107 

120 

135 

150 

167 

184 

202 

220 

240 

260 

9.6 

81 

93 

106 

119 

134 

149 

165 

182 

200 

218 

238 

258 

9.7 

80 

92 

104 

118 

132 

147 

163 

180 

198 

216 

235 

255 

9.8 

79 

91 

103 

117 

131 

146 

162 

178 

196 

214 

233 

253 

9.9 

78 

90 

102 

116 

130 

144 

160 

176 

194 

212 

230 

250 

10.0 

78 

89 

101 

114 

128 

143 

158 

175 

192 

210 

228 

248 

10.1 

77 

88 

100 

113 

127 

142 

157 

173 

190 

207 

226 

245 

10.2 

76 

87 

99 

112 

126 

140 

155 

171 

188 

205 

224 

243 

10.3 

75 

87 

98 

111 

125 

139 

154 

170 

186 

203 

222 

240 

10.4 

75 

86 

98 

110 

123 

138 

152 

168 

184 

202 

219 

238 

10.5 

74 

85 

97 

109 

122 

136 

151 

166 

183 

200 

217 

236 

10.6 

73 

84 

96 

108 

121 

135 

150 

165 

181 

198 

215 

234  10.7 

73 

83 

95 

107 

120 

134 

148 

163 

179 

196 

213 

2311 

10.8 

72 

83 

94 

106 

119 

132 

147 

162 

178 

194 

211 

229 

10.9 

71 

82 

93 

105 

118 

131 

145 

160 

176 

192 

209 

227 

11.0 

71 

81 

92 

104 

117 

130 

144 

159 

174 

191 

208 

225 

11.1 

70 

80 

91 

103 

116 

129 

143 

157 

173 

189 

206 

223, 

11.2 

69 

80 

91 

102 

115 

128 

142 

156 

171 

187 

204 

221 

11.3 

69 

79 

90 

101 

114 

127 

140 

155 

170 

186 

202 

219, 

11.4 

68 

78 

89 

101 

1 13 

126 

139 

153 

168 

184 

200 

217 

11.5 

68 

78 

88 

lOO 

112 

124 

138 

152 

167- 

182 

199 

216 

11.6 

67 

77 

88 

9g 

111 

123 

137 

151 

165 

181 

197 

214  11.7 

66 

76 

87 

98 

110 

122 

136 

149 

164 

179 

195 

212 

11.8 

66 

76 

86 

97 

109 

121 

134 

148 

103 

178 

194 

210: 

11.9 

65 

75 

85 

96 

108 

120 

133 

147 

101 

176 

192 

208 

12.0 

63 

72 

82 

92 

104 

116 

128 

141 

155 

169 

184 

200 

12.5 

60 

69 

79 

89 

lOO 

111 

123 

136 

149 

163 

177 

192 

13.0 

58 

67 

76 

86 

96 

107 

119 

131 

143 

157 

171 

185 

13.5 

56 

64 

73 

83, 

93 

103 

114 

126 

138 

151 

105 

179, 

14.0 

54 

62 

71 

80 

89 

100 

110 

122 

134 

146 

159 

172 

14.5 

52 

60 

68 

77 

86 

96 

107 

118 

129 

141 

154 

167, 

15.0 

51 

58 

66 

75 

84 

93 

103 

114 

125 

137 

149 

161 

15.5 

49 

56 

64 

72 

81! 

90 

100 

110 

121 

132 

144 

156 

16.0 

48 

55 

62 

70 

79 

88 

97 

107 

117 

128 

140 

152 

16.5 

46 

53 

60 

68 

76 

85! 

94 

104 

114 

124 

136 

147 

17.0 

45 

51 

59 

00 

74 

83 

91 

101 

111 

121 

132 

143, 

17.5 

44 

50 

57 

§4 

72 

80 

89 

98 

108 

118 

128 

139 

18.0 

42 

49 

55 

62 

70 

78 

86 

95 

105 

114 

125 

135 

18.5 

41 

47 

54 

611 

68 

701 

841 

93 

102 

111 

1211 

1321  19.0 

a 

75 


* , — m 


VALUES  OF  -2  ^-Length  m Feet 

r 2 r ==Radius  of  Gyration  m Inches. 


r2 

in 

Inches. 

LENGTH  IN 

FEET. 

8 

10 

12 

14 

15 

16 

18 

20 

22 

24 

26 

19.5 

3 

5 

7 

10 

12 

13 

17 

21 

i 

25 

30 

35 

20.0 

3 

5 

7 

10 

11 

13 

16 

20 

24 

29 

34 

20.5 

3 

5 

7 

10 

11 

12 

16 

20 

24 

28 

33 

21.0 

3 

5 

7 

9 

11 

12 

15 

19 

23 

27 

32 

21.5 

3 

5 

7 

9 

10 

12 

15 

19 

23 

27 

31 

22.0 

3 

5 

7 

9 

10 

12 

15 

18 

22 

26 

31 

22.5 

3 

4 

6 

9 

10 

11 

14 

18 

22 

26 

30 

23.0 

3 

4 

6 

9 

10 

11 

14 

17 

21 

25 

29 

23.5 

3 

4 

6 

8 

10 

11 

14 

17 

21 

25 

29 

24.0 

3 

4 

6 

8 

9 

11 

13 

17 

20 

24 

28 

24.5 

3 

4 

6 

8 

9 

10 

13 

16 

20 

24 

28 

25.0 

3 

4 

6 

8 

9 

10 

13 

16 

19 

23 

27 

25.5 

3 

4 

6 

8 

9 

10 

13 

16 

19 

23 

27 

26.0 

2 

4 

6 

8 

9 

10 

12 

15 

19 

22 

26 

26.5 

2 

4 

5 

7 

8 

10 

12 

15 

18 

22 

26 

27.0 

2 

4 

5 

7 

8 

9 

12 

15 

18 

21 

25 

27.5 

2 

4 

5 

7 

8 

9 

12 

15 

18 

21 

25 

28.0 

2 

4 

5 

7 

8 

9 

12 

14 

17 

21 

24 

28.5 

2 

4 

5 

7 

8 

9 

11 

14 

17 

20 

24 

29.0 

2 

3 

5 

7 

8 

9 

11 

14 

17 

20 

23 

29.5 

2 

3 

5 

7 

8 

9 

11 

14 

16 

20 

23 

30.0 

2 

3 

5 

7 

8 

9 

11 

13 

16 

19 

23 

30.5 

2 

3 

5 

6 

7 

8 

11 

13 

16 

19 

22 

31.0 

2 

3 

5 

6 

7 

8 

10 

13 

16 

19 

22 

31.5 

2 

3 

5 

6 

7 

8 

10 

13 

15 

18 

21 

32.0 

2 

3 

5 

6 

7 

8 

10 

13 

15 

18 

21 

32.5 

2 

3 

4 

6 

7 

8 

10 

12 

15 

18 

21 

33.0 

2 

3 

4 

6 

7 

8 

10 

12 

15 

17 

20 

33.5 

2 

3 

4 

6 

7 

8 

10 

12 

14 

17 

20 

34.0 

2 

3 

4 

6 

7 

8 

10 

12 

14 

17 

20 

34.5 

2 

3 

4 

6 

7 

7 

9 

12 

14 

17 

20 

35.0 

2 

3 

4 

6 

6 

7 

9 

11 

14 

16 

19 

35.5 

2 

3 

4 

6 

6 

7 

9 

11 

14 

16 

19 

36.0 

2 

3 

4 

5 

6 

7 

9 

11 

13 

16 

19 

36.5 

2 

3 

4 

5 

6 

7 

9 

11 

13 

16 

19 

37.0 

2 

3 

4 

5 

6 

7 

9 

11 

13 

16 

18 

37.5 

2 

3 

4 

5 

6 

7 

9 

11 

13 

15 

18 

38.0 

2 

3 

4 

5 

6 

7 

9 

11 

13 

15 

18 

38.5 

2 

3 

4 

5 

6 

7 

8 

10 

13 

15 

18 

39.0 

2 

3 

4 

5 

6 

7 

8 

10 

12 

15 

17 

39.5 

2 

3 

4 

5 

6 

6 

8 

10 

12 

15 

17 

40.0 

2 

3 

4 

5 

6 

6 

8 

10 

12 

14 

17 

40.5 

2 

2 

4 

5 

6 

6 

8 

io 

12 

14 

17 

41.0 

2 

2 

4 

5 

5 

6 

8 

io 

12 

14 

16 

41.5 

2 

2 

3 

5 

5 

6 

8 

10 

12 

14 

16 

>b ® 

76 


-* 


VALUES  OF 


L2  L=Length  in  Feet. 


r- 


r=Radius  of  Gyration  in  Inches. 


LENGTH  IN  FEET. 

r 2 
in 

28 

O 

CO 

32 

34 

36 

38 

40  j 

42 

44  1 

46 

48 

50 

Inches. 

40 

46 

53 

59 

66 

74  ! 

82 

90 

99 

109 

118 

128 

19.5 

39 

45 

51 

58 

65 

72  I 

80 

88 

97 

106 

115 

125 

20.0 

38 

44 

50  | 

56 

63  | 

70 

78 

86 

94 

103 

112 

122 

20.5 

37 

43 

49 

55 

62 

69 

76 

84 

92 

101 

110 

119 

21.0 

36 

42 

48  ! 

54 

60 

67  i 

74 

82 

90 

98 

107 

116 

21.5 

30 

41 

47 

53 

59 

66! 

73 

80 

88 

96 

105 

114 

22.0 

35 

40 

46 

51 

58 

64i 

71 

78 

86 

94 

102 

111 

22.5 

34 

39 

45 

50 

56 

63  1 

70 

77 

84 

92 

lOO 

109 

23.0 

33 

38 

44 

49 

55 

61 

68 

75 

82 

90 

98 

106 

23.5 

33 

38 

43 

48 

54 

60 

67 

74 

81 

88 

96 

104 

24.0 

32 

37 

42 

47 

53 

59 

65 

72 

79 

86 

94 

102 

24.5 

31 

36 

41 

46 

52 

58 

64 

71 

77 

85 

92 

100 

25.0 

31 

35 

40 

45 

51 

57 

63 

69 

76 

83 

90 

98 

25.5 

30 

35 

39 

44 

50 

56 

62 

68 

74 

81 

89 

96 

26.0 

30 

34 

39 

44 

49 

54 

60 

67 

73 

80 

87 

94 

26.5 

29 

33 

38 

43 

48 

53 

59 

65 

72 

78 

85 

93 

27.0 

29 

33 

37 

42 

47 

53 

58 

64 

70 

77 

84 

91 

27.5 

28 

32 

37 

41 

46  1 

52 

57 

63 

69 

76 

82 

89 

28.0 

28 

32 

36 

41  1 

45 

51  1 

56 

62 

68 

74 

81 

88 

28.5 

27 

31 

35 

40 

45  1 

50  ■ 

55 

61 

67 

73 

79 

86 

29.0 

27 

31 

35  ' 

39 

44 

49 

54 

60 

66! 

72 

78 

85 

29.5 

26 

30 

34, 

39 

43! 

48 

53 

59 

65 

71 

77 

83 

30.0 

26 

30 

34 

38 

42  1 

47 

52 

58 

63  i 

69 

76 

82 

30.5 

25 

29 

33 

37 

42 

47 

52 

57 

62 

68 

74 

81 

31.0 

25 

29 

33  ! 

37 

41  1 

46 

51 

50 

61  1 

67 

73 

79 

31.5 

25 

28 

32 

36 

41 

45 

50 

55 

61  ! 

06 

72 

78 

32.0 

24 

28 

32 

36 

40 

44 

49 

54 

60  i 

65 

71 

77 

32.5 

24 

27 

31  1 

35 

39 

44 

48 

53 

59 

64 

70 

76 

33.0 

23 

27 

31  1 

35 

39 

43 

48 

53 

581 

1 63 

69 

75 

33.5 

23 

26 

30 

34 

38| 

42 

47 

52 

57 

02 

68 

74 

34.0 

23 

26 

30 

34 

38 

42 

46 

51 

50 

61 

67 

72 

34.5 

22 

26 

29  i 

j 33 

37 

i 41 

46 

50 

55 

60 

66 

71 

35.0 

22 

25 

29 

33 

37 

! 41 

45 

50 

55 

00 

65 

70 

35.5 

22 

25 

28 

32 

36 

40 

44 

49 

54 

59 

64 

09 

36.0 

21 

25 

28 

1 32 

36 

40 

44 

48 

53 

58 

63 

69 

30.5 

21 

24 

28 

31 

35 

39 

43 

48 

52 

57 

62 

68 

37.0 

21 

24 

27 

31 

35 

39 

43 

47 

52 

56 

61 

67 

37.5 

21 

24 

27 

30 

34 

38 

42 

46 

51 

56 

61 

66 

38.0 

20 

23 

27 

30 

34 

38 

42 

40 

50 

55 

60 

65 

38.5 

20 

23 

26 

1 30 

33 

37 

41 

45 

50 

54 

59 

64 

39.0 

20 

23 

26 

29 

33 

37 

41 

45 

49 

54 

58 

63 

39.5 

20 

23 

26 

29 

32 

36 

40 

44 

48 

53 

58 

63 

40.0 

19 

22 

25 

29 

32 

36 

40 

44 

48 

52 

57 

62 

40.5 

19 

22 

25 

28 

32 

35 

39 

43 

47 

52 

56 

61 

41.0 

! 19 

22 

25 

28 

31 

35 

39 

43 

47 

51 

56 

60 

41.5 

* 


77 


>±<- 


VALUES  OP  — L=LengthmFeel 


r=Radius  of  Gyration  in  Inches. 


I*2 

in 

Inches. 


LENGTH  IN  FEET. 


10  12  14 


42.0 

2 

2 

3 

5 

42.5 

2 

2 

3 

5 

43.0 

1 

2 

3 

5 

43.5 

1 

2 

3 

5 

44.0 

1 

2 

3 

4 

44.5 

1 

2 

3 

4 

45.0 

1 

2 

3 

4 

45.5 

1 

2 

3 

4 

46.0 

1 

2 

3 

4 

46.5 

1 

2 

3 

4 

47.0 

1 

2 

3 

4 

47.5 

1 

2 

3 

4 

48.0 

1 

2 

3 

4 

48.5 

1 

2 

3 

4 

49.0 

1 

2 

3 

4 

49.5 

1 

2 

3 

4 

50.0 

1 

2 

3 

4 

50.5 

1 

2 

3 

4 

51.0 

1 

2 

3 

4 

51.5 

1 

2 

3 

4 

52.0 

1 

2 

3 

4 

52.5 

1 

2 

3 

4 

53.0 

1 

2 

3 

4 

53.5 

1 

2 

3 

4 

54.0 

1 

2 

3 

4 

54.5 

1 

2 

3 

4 

55.0 

1 

2 

3 

4 

55.5 

1 

2 

3 

4 

56.0 

1 

2 

3 

3 

56.5 

1 

2 

3 

3 

57.0 

1 

2 

3 

3 

57.5 

1 

2 

3 

3 

58.0 

1 

2 

2 

3 

58.5 

1 

2 

2 

3 

59.0 

1 

2 

2 

3 

59.5 

1 

2 

2 

3 

60.0 

1 

2 

2 

3 

60.5 

1 

2 

2 

3 

61.0 

1 

2 

2 

3 

61.5 

1 

2 

2 

3 

62.0 

1 

2 

2 

3 

62.5 

1 

2 

2 

3 

63.0 

1 

2 

2 

3 

63.5 

1 

2 

2 

3 

64.0 

► i 

1 

2 

2 

3 

15 

16 

18 

20 

22 

24 

26 

5 

6 

8 

10 

12 

14 

16 

5 

6 

8 

9 

11 

14 

16 

5 

6 

8 

9 

11 

13 

16 

5 

6 

7 

9 

11 

13 

16 

5 

6 

7 

9 

11 

13 

15 

5 

6 

7 

9 

11 

13 

15 

5 

6 

7 

9 

11 

13 

15 

5 

6 

7 

9 

11 

13 

15 

5 

5 

7 

9 

11 

13 

15 

5 

5 

7 

9 

10 

12 

15 

5 

5 

7 

9 

10 

12 

14 

5 

5 

7 

8 

10 

12 

14 

5 

5 

7 

8 

10 

12 

14 

5 

5 

7 

8 

10 

12 

14 

5 

5 

7 

8 

10 

12 

14 

5 

5 

7 

8 

9 

12 

14 

5 

5 

6 

8 

9 

12 

14 

5 

5 

6 

8 

9 

11 

13 

4 

5 

6 

8 

9 

11 

13 

4 

5 

6 

8 

9 

11 

13 

4 

5 

6 

8 

9 

11 

13 

4 

5 

6 

8 

9 

11 

13 

4 

5 

6 

8 

9 

11 

13 

4 

5 

6 

7 

9 

11 

13 

4 

5 

6 

7 

9 

11 

13 

4 

5 

6 

7 

9 

11 

12 

4 

5 

6 

7 

9 

10 

12 

4 

5 

6 

7 

9 

10 

12 

4 

5 

6 

7 

9 

10 

12 

4 

5 

6 

7 

9 

10 

12 

4 

4 

6 

7 

8 

10 

12 

4 

4 

6 

7 

8 

10 

12 

4 

4 

6 

7 

8 

10 

12 

4 

4 

6 

7 

8 

10 

12 

4 

4 

5 

7 

8 

10 

11 

4 

4 

5 

7 

8 

10 

11 

4 

4 

5 

7 

8 

10 

11 

4 

4 

5 

7 

8 

10 

11 

4 

4 

5 

7 

8 

9 

11 

4 

4 

5 

7 

8 

9 

11 

4 

4 

5 

6 

8 

9 

11 

4 

4 

5 

6 

8 

9 

11 

4 

4 

5 

6 

8 

9 

11 

4 

4 

5 

6 

8 

9 

11 

4 

4 

5 

6 

8 

9 

11 

78 


VALUES  OP  ^ 
r2 

L= 

r= 

=Length  in  Feet. 
=Radius  of  Gyration  in 

Inches. 

LENGTH  IN  FEET. 

r2 

in 

28 

30 

32 

34 

36 

33 

40 

42 

44 

46 

48 

50 

Inches. 

19 

21 

24 

28 

31 

34 

38 

42 

46 

! 50 

55 

60 

42.0 

18 

21 

24 

27 

30 

34 

38 

42 

46 

50 

54 

59 

42.5 

18 

21 

24 

27 

30 

34 

37 

41 

45 

49 

54 

58 

43.0 

18 

21 

24 

27 

30 

33 

37 

41 

45 

| 49 

53 

57 

43.5 

18 

20 

23 

26 

29 

33 

36 

40 

44 

48 

52 

57 

44.0 

18 

20 

23 

26 

29 

32 

36 

40 

44 

48 

52 

56 

44.5 

17 

20 

23 

26 

29 

32 

36 

39 

43 

l 47 

51 

56 

45.0 

17 

20 

23 

25 

28 

32 

35 

39 

43 

i 47 

51 

55 

45.5 

17 

20 

22 

25 

28 

31 

35 

38 

42 

46 

50 

54 

46.0 

17 

19 

22 

25 

28 

31 

34 

38 

42 

45 

50 

54 

46.5 

17 

19 

22 

25 

28 

31 

34 

38 

41 

45 

49 

53 

47.0 

17 

19 

22 

24 

27 

30 

34 

37 

41 

; 45 

49 

53 

47.5 

16 

19 

21 

24 

27 

30 

33 

37 

40 

44 

48 

52 

48.0 

16 

19 

21 

24 

27 

30 

33 

36 

40 

44 

48 

52 

48  5 

16 

18 

21 

24 

26 

29 

33 

36 

40 

43 

47 

51 

49.0 

16 

18 

21 

23 

26 

29 

32 

36 

39 

! 43 

47 

51 

49.5 

16 

18 

20 

23 

26 

29 

32 

35 

39 

42 

46 

50 

50.0 

16 

18 

20 

23 

26 

29 

32 

35 

38 

42 

46 

50 

50.5 

15 

18 

20 

23 

25 

28 

31 

35 

38 

41 

45 

49 

151.0 

15 

17 

20 

22 

25 

28 

31 

34 

38 

41 

45 

49 

51.5 

15 

17 

20 

22 

25 

28 

31 

34 

37 

41 

44 

48 

52.0 

15 

17 

20 

22 

25 

28 

30 

34 

37 

40 

44 

48 

52.5 

15 

17 

19 

22 

24 

1 27 

30 

33 

37 

40 

43 

47 

53.0 

15 

17 

19 

1 22 

24 

! 27 

30 

33 

36 

40 

43 

47 

53.5 

15 

17 

19 

21 

24 

27 

30 

33 

36 

39 

43 

46 

54.0 

14 

17 

19 

21 

24 

26 

1 29 

32 

36 

39 

42 

46 

54.5 

14 

16 

19 

21 

24 

26 

i 29 

32 

35 

38 

42 

45 

55.0 

14 

16 

18 

I 21 

23 

26 

29 

32 

35 

38 

42 

45 

55.5 

14 

16 

18 

21 

23 

26 

29 

31 

35 

38 

41 

45 

56.0 

14 

16 

18 

20 

23 

26 

28 

31 

34 

37 

41 

44 

56.5 

14 

16 

18 

20 

23 

25 

28 

31 

34 

37 

40 

44 

57.0 

14 

16 

18 

20 

23 

25 

28 

31 

34 

37 

40 

43 

57.5 

14 

16 

18 

20 

22 

25 

28 

30 

33 

36 

40 

43 

58.0 

13 

15 

18 

20 

22 

25 

27 

30 

33 

36 

39 

43 

58.5 

13 

15 

17 

20 

22 

24 

27 

30 

33 

36 

39 

42 

59.0 

13 

15 

17 

19 

22 

24 

27 

30 

33 

36 

39 

42 

59.5 

13 

15 

17 

19 

22 

24 

27 

29 

32 

35 

38 

42 

60.0 

13 

15 

17 

19 

21 

24 

26 

29 

32 

35 

38 

41 

60.5 

13 

15 

17 

19 

21 

24 

26 

29 

32 

35 

38 

41 

61.0 

13 

15 

17 

19 

21 

23 

26 

29 

31 

34 

37 

41 

61.5 

13 

15 

17 

19 

21 

23 

26 

28 

31 

34 

37 

40 

62.0 

13 

14 

16 

18 

21 

23 

26 

28 

31 

34 

37 

40 

62.5 

12 

14 

16 

18 

21 

23 

25 

28 

31 

34 

37 

40 

63.0 

12 

14 

16 

18 

20 

23 

25 

28 

30 

33 

36 

39 

63.5 

12 

14 

16 

18 

20 

23 

25 

28 

'j- 

30 

33 

36 

39 

64.0 

79 


L==Length  in  Feet. 

r2  r=Radius  of  Gyration  in  Inches. 


I*  2 

LENGTH 

IN 

1 FEET. 

in 

Inches. 

14 

15 

16 

18 

20 

22 

24 

26 

28 

30 

32 

34 

36 

38 

40 

42 

44 

| 

46 

48 

50 

64.5 

3 

3 

4 

5 

6 

8 

9 

10 

12 

14 

16 

18 

20 

22 

25 

27 

30 

33 

36 

39 

65.0 

3 

3 

4 

5 

6 

7 

9 

10 

12 

14 

16 

18 

20 

i2 

25 

27 

30 

33 

35 

38 

65.5 

3 

3 

4 

5 

6 

7 

9 

10 

12 

14 

16 

18 

20 

22 

24 

27 

30 

32 

35 

38 

66.0 

3 

3 

4 

5 

6 

7 

9 

10 

12 

14 

16 

18 

20 

22 

21 

27 

29 

32 

35 

38 

66.5 

3 

3 

4 

5 

6 

7 

9 

10 

12 

14 

15 

17 

19 

22 

24 

27 

29 

32 

35 

38 

67.0 

3 

3 

4 

5 

6 

7 

9 

10 

12 

13 

15 

17 

19 

22 

24 

26 

29 

32 

34 

37 

67.5 

3 

3 

4 

5 

6 

7 

9 

10 

12 

13 

15 

17 

19 

21 

24 

26 

29 

31 

34 

37 

68.0 

3 

3 

4 

5 

6 

7 

8 

10 

12 

13 

15 

17 

19 

21 

24 

26 

28 

31 

34 

37 

68.5 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

15 

17 

19 

2l 

23 

26 

28 

31 

; 34 

36 

69.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

15 

17 

19 

21 

23 

26 

28 

31 

33 

36 

69.5 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

15 

17 

19 

21 

23 

25 

28 

30 

33 

35 

70.0 

3 

3 

4 

5 

6 

7 

8 

JO 

11 

13 

15 

17 

19 

21 

23 

25 

28 

30 

33 

36 

70.5 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

15 

16 

18 

20 

23 

25 

27 

30 

33 

35 

71.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

14 

16 

18 

20 

23 

25 

27 

30 

32 

35 

71.5 

3 

3 

4 

5 

6 

7 

8 

9 

11 

13 

14 

16 

18 

20 

22 

25 

27  j 

30 

32 

35 

72.0 

3 

3 

4 

5 

6 

7 

8 

9 

11 

13 

14 

16 

18 

20 

22 

25 

27 

29 

32 

35 

73.0 

3 

3 

4 

4 

5 

7 

8 

9 

11 

12 

14 

16 

18 

20 

22 

24 

27 

29 

32 

34 

74.0 

3 

3 

3 

4 

5 

7 

8 

9 

11 

12 

14 

16 

18 

20 

22 

21 

26  1 

29 

31 

34 

75.0 

3 

3 

3 

4 

5 

6 

8 

9 

10 

12 

14 

15 

17 

19 

21 

24 

26 

28 

31 

33 

76.0 

3 

3 

8 

4 

5 

6 

8 

9 

10 

12 

13 

15 

17 

19 

21 

23 

25 

28 

30 

33 

77.0 

3 

3 

3 

4 

5 

6 

7 

9 

10 

12 

13 

15 

17 

19 

21 

23 

25 

27 

30 

32 

78.0 

2 

3 

3 

4 

5 

6 

7 

9 

10 

12 

13 

15 

17 

19 

21 

23 

25 

27 

30 

32 

79.0 

3 

3 

4 

5 

6 

7 

9 

10 

1L 

13 

15 

16 

18 

20 

22 

25 

27 

29 

32 

80.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

14 

16 

18 

20 

22 

2i 

26 

29 

31 

81.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

13 

14 

16 

18 

20 

22 

24 

26 

28 

31 

82.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

12 

14 

16 

18 

20 

22 

24 

26 

28 

30 

84.0 

3 

3 

4 

5 

6 

7 

8 

9 

11 

12 

14 

15 

17 

19 

21 

23 

25 

27 

30 

86.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

12 

13 

15 

17 

19 

21 

23 

25 

27 

29 

88.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

12 

13 

15 

16 

18 

20 

22 

24 

26 

28 

90.0 

3 

3 

4 

4 

5 

6 

8 

9 

10 

11 

13 

14 

16 

18 

20 

22 

24 

26 

28 

92.0 

2 

3 

4 

4 

5 

6 

7 

9 

10 

11 

13 

14 

16 

17 

19 

21 

23 

25 

27 

94.0 

3 

3 

4 

5 

6 

7 

8 

10 

11 

12 

14 

15 

17 

19 

21 

23 

25 

27 

96.0 

3 

3 

4 

5 

6 

7 

8 

9 

11 

12 

14 

15 

17 

18 

20 

22 

24 

26 

98.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

12 

13 

15 

16 

18 

20 

22 

24 

26 

100.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

12 

13 

14 

16 

18 

19 

21 

23 

26 

102.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

11 

13 

14 

16 

17 

19 

21 

23 

25 

104.0 

2 

3 

4 

5 

6 

7 

7 

9 

10 

11 

12 

14 

15 

17 

19 

20 

22 

2* 

106.0 

3 

4 

5 

5 

6 

7 

8 

10 

11 

12 

14 

15 

17 

18 

20 

22 

24 

108.0 

3 

4 

4 

5 

6 

7 

8 

9 

11 

12 

13 

15 

16 

18 

20 

21 

23 

110.0 

3 

4 

4 

5 

6 

7 

’ 8 

9 

11 

12 

13 

15 

16 

18 

19 

21 

23 

112.0 

3 

4 

4 

5 

6 

7 

8 

9 

10 

12 

13 

14 

16 

17 

19 

21 

22 

114.0 

3 

4 

4 

5 

6 

7 

8 

9 

10 

11 

13 

14 

15 

17 

19 

20 

22 

116.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

14 

15 

17 

18 

20 

22 

118.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

14 

15 

16 

18 

20 

21 

120.0 

3 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

15 

16 

18 

19 

21 

* * 


80 


♦ 


ULTIMATE  STRENGTH  OF  WROUGHT  IRON 
COLUMNS. 

For  different  proportions  of  length  in  feet  (=L). 

To  least  radius  of  gyration  in  inches  (==r). 


Square  Bearing: 
40000 

1 + -0036  % 


Pin  and  Square  Bearing: 
40000 

l+.0048^ 


Pin  Bearing : 
40000 

1 + .0072  ^ 


The  above  formulae  are  usually  written  with  length  (=1) 
expressed  in  inches  as  follows  : 


40000 


40000 


40000 


1 + 


40000  r- 


1 + 


l2 


30000  r2 


1 + 


l2 


20000  r- 


ro  obtain  Safe  'I  For  quiescent  loads,  as  in  buildirms^divide  by  4. 
Resistance : J For  moving  loads,  as  in  bridges,  divide  by  5. 


r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

V 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

1 

39857 

39809 

39714 

21 

37189 

36337 

34746 

2 

39714 

39620 

39432 

22 

37064 

36179 

34530 

3 

39573 

39432 

39154 

23 

36941 

36023 

34317 

4 

39432 

39246 

38880 

24 

36819 

35868 

34106 

5 

39293 

39063 

38610 

25 

36697 

35714 

33898 

6 

39154 

38880 

38344 

26 

36576 

35562 

33693 

7 

39017 

38700 

38081 

27 

36456 

35411 

33490 

8 

38880 

38521 

37821 

28 

36337 

35261 

33289 

9 

38745 

38344 

37566 

29 

36219 

35112 

33091 

10 

38610 

38168 

37313 

30 

36101 

34965 

32895 

11 

38476 

37994 

37064 

31 

35984 

34819 

32701 

12 

38344 

37821 

36819 

32 

35868 

34674 

32510 

13 

38212 

37651 

36576 

33 

35753 

34530 

32321 

14 

38081 

37481 

36337 

34 

35638 

34388 

32134 

15 

37951 

37313 

36101 

35 

35524 

34247 

31949 

16 

37821 

37147 

35868 

36 

35411 

34106 

31766 

17 

37693 

36982 

35638 

37 

35298 

33967 

31586 

18 

37566 

36819 

35411 

38 

35186 

33829 

31407 

19 

37439 

36857 

35186 

39 

35075 

33693 

31230 

20 

37313 

36496 

34965 

40 

34965 

33557 

31056 

81 


■* 


WROUGHT  IRON  COLUMNS— Continued. 


Ultimate  Strength  in  Lbs. 

Ultimate  Strength  in  Lbs. 

L2 

per  square  inch. 

L2 

per  square  inch. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

41 

34855 

33422 

30883 

81 

30969 

28802 

25265 

42 

34746 

33289 

30713 

82 

30883 

28703 

25151 

43 

34638 

33156 

30544 

83 

30798 

28604 

25038 

44 

34530 

33025 

30377 

84 

30713 

28506 

24925 

45 

34423 

32895 

30211 

85 

30628 

28409 

24814 

46 

34317 

32765 

30048 

86 

30544 

28313 

24704 

47 

34211 

32637 

29886 

87 

30460 

28217 

24594 

48 

34106 

32510 

29727 

88 

30377 

28121 

24486 

49 

34002 

32383 

29568 

89 

30294 

28027 

24378 

50 

33898 

32258 

29412 

90 

30211 

27933 

24272 

51 

33795 

32134 

29257 

91 

30130 

27840 

24166 

52 

33693 

32010 

29104 

92 

30048 

27747 

24062 

53 

33591 

3L888 

28952 

93 

29967 

27655 

23958 

54 

33490 

31766 

28802 

94 

29886 

27563 

23855 

55 

33389 

31646 

28653 

95 

29806 

27472 

23753 

56 

33289 

31526 

28508 

96 

29727 

27382 

23652 

57 

33190 

31407 

28361 

97 

29647 

27293 

23552 

58 

33091 ! 

31289 

28217 

98 

29568 

27203 

23452 

59 

32992 

31172 

28074 

99 

29490 

27115 

23354 

60 

32895 

31056 

27933 

100 

29412 

27027 

23256 

61 

32798 

30941 

27793 

101 

29334 

26940 

23159 

62 

32701 

30826 

27655 

102 

29257 

26853 

23063 

63 

32605 

30713 

27518 

103 

29180 

26767 

22967 

64 

32510 

30600 

27382 

104 

29104 

26681 

22873 

65 

32415 

30488 

27248 

105 

29028 

26596 

22779 

66 

32321 

30377 

27115 

103 

28952 

26511 

22686 

67 

32227 

30266 

26983 

107 

28877 

26427 

22594 

68 

32134 

30157 

26853 

108 

28802 

26344 

22502 

69 

32041 

30048 

26724 

109 

28727 

26261 

22411 

70 

31949 

29940 

26596 

110 

28653 

26178 

22321 

71 

31857 

29833 

26469 

111 

28580 

26096 

22232 

72 

31766 

29727 

26344 

112 

28506 

26015 

22143 

73 

31676 

29621 

26219 

113 

28433 

25934 

22056 

74 

31586 

29516 

26096 

114 

28361 

25853 

21968 

75 

31496 

29412 

25974 

115 

28289 

25773 

21882 

76 

31407 

29308 

25853 

116 

28217 

25694 

21796 

77 

31319 

29206 

25733 

117 

28145 

25615 

21711 

78 

31230 

29104 

25615 

118 

28074 

25536 

21626 

79 

31143 

29002 

25497 

119 

28003 

25458 

21542 

80 

31056 

28902 

25381 

120 

27933 

25381 

21459 

82 


* — . — * 

WROUGHT  IRON  COLUMNS— Continued. 

Ultimate  Strength 

in  Lbs. 

Ultimate  Strength 

in  Lbs. 

! L2 

per  square  inch. 

L2 

per  square  inch. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

121 

27863 

' 

25304 

21377 

205 

23015 

20161 

16155 

122 

27793 

25227 

21295 

210 

22779 

19920 

15924 

123 

27724 

25151 

21213 

215 

22548 

19685 

15699 

124 

27655 

25075 

21133 

220 

22321 

19455 

15480 

125 

27586 

25000 

21053 

225 

22099 

19231 

15267 

126 

27518 

24925 

20973 

230 

21882 

19011 

15060 

127 

27450 

24851 

20894 

235 

21668 

18797 

14859 

128 

27382 

24777 

20816 

240 

21459 

18587 

14663 

129 

27315 

24704 

20738 

245 

21254 

18382 

14472 

130 

27248 

24631 

20661 

250 

21053 

18182 

14286 

131 

27181 

24558 

20585 

255 

20855 

17986 

14104 

132 

27115 

24486 

20509 

260 

20661 

17794 

13928 

133 

27049 

24414 

20433 

265 

20471 

17606 

13755 

134 

26983 

24343 

20358 

270 

20284 

17422 

13587 

135 

26918 

24272 

20284 

275 

20101 

17241 

13423 

136 

26853 

24201 

20210 

280 

19920 

17065 

13263 

137 

26788 

24131 

20137 

285 

19743 

16892 

13106 

138 

26724 

24062 

20064 

290 

19509 

16722 

12953 

139 

26660 

23992 

19992 

295 

19399 

16556 

12804 

140 

26596 

23923 

19920 

300 

19231 

16393 

12658 

141 

26532 

23855 

19849 

310 

18904 

16077 

12376 

142 

26469 

23787 

19778 

320 

18587 

15773 

12107 

143 

26406 

23719 

19708 

330 

18282 

15480 

11848 

144 

26344 

23652 

19639 

340 

17986 

15198 

11601 

145 

26281 

23585 

19569 

350 

17699 

14925 

11364 

146 

26219 

23518 

19501 

300 

17422 

14003 

11136 

147 

26157 

23452 

19433 

370 

17153 

14409 

10917 

148 

26096 

23387 

19365 

380 

16892 

14164 

10707 

149 

26035 

23321 

19298 

390 

16039 

13928 

10504 

150 

25974 

23256 

19231 

400 

16393 

13699 

10309 

L55 

25674 

22936 

18904 

410 

16155 

13477 

3 0121 

160 

25381 

22624 

18587 

420 

15924 

13263 

9940 

165 

25094 

22321 

18282 

430 

15699 

13055 

9766 

170 

24814 

22026 

17986 

440 

15480 

12853 

9597 

175 

24540 

21739 

17699 

450 

15267 

12058 

9434 

180 

24272 

21459 

17422 

460 

15060 

12409 

9276 

185 

24010 

21186 

17153 

470 

14859 

12285 

9124 

190 

23753 

20921 

16892 

480 

14663 

12107 

8977 

195 

23502 

20661 

16639 

490 

14472 

11933 

8834 

200 
* 

23256 

20408 

16393 

500 

14286 

11765 

8696 

83 


ULTIMATE  STRENGTH  OF  WROUGHT  IRON 
COLUMNS. 


For  different  proportions  of  length  in  feet  (=L). 
To  least  radius  of  gyration  in  inches  (=r). 


Square  Bearing:  Pin  and  Square  Bearing: 

40000  40000 


L2 

1 + .004  ^ 


L2 

1 + .006 


Pin  Bearing : 
40000 

L2 

1 + .008 


The  above  formulae  are  usually  written  with  length  (=1) 
expressed  in  inches  as  follows  : 

40000 


40000 


40000 


1 + 


36000  r2 


1 + 


24000  r 


1 + 


l2 


18000  r2 


To  obtain  Safe  I For  quiescent  loads,  as  in  buildings,  divide  by  4. 
Resistance : J For  moving  loads,  as  in  bridges,  divide  by  5. 


L2 

r 2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

Square. 

Pin  and 
Square. 

Pin. 

1 

39841 

39761 

39683 

21 

36901 

35524 

34247 

2 

39683 

39526 

39370 

22 

36765 

35336 

34014 

3 

39526 

39293 

39063 

23 

36630 

35149 

33784 

4 

39370 

39063 

38760 

24 

38496 

34965 

33557 

5 

39216 

38835 

38462 

25 

36364 

34783 

33333 

6 

39082 

38610 

38168 

28 

36232 

34602 

33113 

7 

38910 

38388 

37879 

27 

36101 

34423 

32895 

8 

38759 

38168 

37594 

28 

35971 

34247 

32680 

9 

38610 

37951 

37313 

29 

35842 

34072 

32467 

10 

38462 

37736 

37037 

30 

35714 

33898 

32258 

11 

38315 

37523 

36765 

31 

35587 

33727 

32051 

12 

38168 

37313 

36496 

32 

35461 

33557 

31847 

13 

38023 

37106 

36232 

33 

35336 

33389 

31645 

14 

37879 

36901 

35971 

34 

35211 

33223 

31447 

15 

37736 

36697 

35714 

35 

35088 

33058 

31250 

16 

37594 

36496 

35461 

36 

34965 

32895 

31056 

17 

37453 

36298 

35211 

37 

34843 

32733 

30864 

18 

37313 

36101 

34965 

38 

34722 

32573 

30675 

19 

37175 

35907 

34722 

39 

34602 

32415 

30488 

20 

37037 

35714 

34483 

40 

34483 

32258 

30303 

84 


►p — * 


WROUGHT  IRON  COLUMNS— Continued. 


r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

L 2 

r 2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

Square. 

Pin  and 
Square. 

Pin. 

41 

34364 

32103 

30121 

81 

30211 

26918 

24272 

42 

34247 

31949 

29940 

82 

30120 

26809 

24155 

43 

34130 

31797 

29762 

83 

30030 

26702 

24039 

44 

34014 

31646 

29586 

84 

29940 

26596 

23923 

45 

33898 

31496 

29412 

85 

29851 

26490 

23809 

46 

33784 

31348 

29240 

86 

29762 

26385 

23697 

47 

33670 

31201 

29070 

87 

29673 

26281 

23585 

48 

33556 

31056 

28902 

88 

29586 

26178 

23474 

49 

33445 

30912 

28736 

89 

29499 

26076 

23364 

50 

33333 

30769 

28571 

90 

29412 

25974 

23256 

51 

33223 

30628 

28409 

91 

29326 

25873 

23148 

52 

33113 

30488 

28248 

92 

29240 

25773 

23041 

53 

33003 

30349 

28090 

93 

29154 

25674 

22936 

54 

32895 

30212 

27933 

94 

29070 

25575 

22831 

55 

32787 

30075 

27778 

95 

23986 

25478 

22727 

56 

32680 

29940 

27624 

96 

28902 

25381 

22624 

57 

32573 

29808 

27472 

97 

23818 

25284 

22523 

58 

32468 

29674 

27322 

98 

28736 

25189 

22422 

59 

32363 

29542 

27174 

99 

28653 

25094 

22321 

60 

32258 

29412 

27027 

100 

28571 

25000 

22222 

61 

32154 

29283 

26882 

101 

28490 

24907 

22124 

62 

32051 

29155 

26738 

102 

28409 

24814 

22026 

63 

31949 

29028 

26596 

103 

28329 

24722 

21930 

64 

31848 

28902 

26455 

104 

28249 

24631 

21834 

65 

31746 

28777 

26316 

105 

28169 

24540 

21739 

66 

31646 

28653 

26178 

106 

28090 

24450 

21645 

67 

31546 

2853  L 

26042 

107 

28011 

24360 

21552 

68 

31447 

28409 

25907 

103 

27933 

24272 

21459 

69 

31348 

28289 

25773 

109 

27855 

24184 

21368 

70 

31250 

28169 

25641 

110 

27777 

24096 

21277 

71 

31152 

28050 

25510 

111 

27700 

24009 

21186 

72 

31055 

27933 

25381 

112 

27624 

23923 

21097 

73 

30959 

27816 

25253 

113 

27548 

23838 

21008 

74 

30864 

27701 

25126 

114 

27472 

23753 

20920 

75 

30769 

27586 

25000 

115 

27397 

23669 

20833 

76 

30675 

27472 

24876 

116 

27322 

23585 

20747 

77 

30581 

27360 

24752 

117 

27248 

23502 

20661 

78 

30488 

27248 

24631 

118 

27174 

23419 

20576 

79 

30395 

27137 

24510 

119 

27100 

23337 

20492 

80 
>u 

30303 

27027 

24390 

120 

27027 

23256 

| 20408 

85 


WROUGHT  IRON  COLUMNS— Continued. 


L2 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

Square. 

Pin  and 
Square. 

Pin. 

121 

26954 

23175 

20325 

205 

21978 

17937 

15151 

122 

26882 

23095 

20243 

210 

21739 

17699 

14925 

123 

26810 

23015 

20161 

215 

21505 

17467 

14706 

124 

28738 

22936 

20080 

220 

21277 

17241 

14493 

125 

26667 

22857 

20000 

225 

21053 

17022 

14286 

128 

26596 

22779 

19920 

230 

20833 

16807 

14085 

127 

20525 

22701 

19841 

235 

20619 

16598 

13889 

128 

26455 

22624 

19763 

240 

20408 

16394 

13698 

129 

26385 

22548 

19685 

245 

20202 

16194 

13513 

130 

26316 

22472 

19608 

250 

20000 

16000 

13333 

131 

26247 

22396 

19531 

255 

19802 

15810 

13158 

132 

28178 

22321 

19455 

260 

19608 

15625 

12987 

133 

26110 

22247 

19380 

265 

19417 

15444 

12821 

134 

26042 

22173 

19305 

270 

19231 

15267 

12658 

135 

25974 

22099 

19231 

275 

19C47 

15094 

12500 

138 

25907 

22026 

19157 

280 

18868 

14925 

12346 

137 

25840 

21954 

19084 

285 

18892 

14760 

12195 

138 

25773 

21882 

19011 

290 

18519 

14599 

12048 

139 

25707 

21810 

18938 

295 

18349 

14440 

11905 

140 

25641 

21739 

18868 

300 

18182 

14286 

11765 

141 

25575 

21668 

18797 

310 

17857 

13986 

11494 

142 

25510 

21598 

18727 

320 

17544 

13699 

11236 

143 

25445 

21529 

18657 

330 

17241 

13423 

10989 

144 

25381 

21459 

18587 

340 

16949 

13158 

10753 

145 

25317 

21390 

18519 

350 

16667 

12903 

10526 

146 

25253 

21322 

18450 

360 

16393 

12658 

10309 

147 

25189 

21254 

18382 

370 

16129 

12422 

10101 

148 

25126 

21186 

18315 

380 

15873 

12195 

9901 

149 

25083 

21119 

18248 

390 

15625 

11976 

9709 

150 

25000 

21053 

18182 

400 

15385 

11765 

9524 

155 

24891 

20725 

17857 

410 

15151 

11561 

9346 

160 

24390 

20408 

17544 

420 

14926 

11364 

9174 

165 

24098 

20101 

17241 

430 

14706 

11173 

9009 

170 

23810 

19802 

16949 

440 

14493 

10989 

8850 

175 

23529 

19512 

16667 

450 

14286 

10811 

8696 

180 

23256 

19231 

16394 

430 

140S5 

10638 

8547 

185 

22988 

18957 

16129 

470 

13889 

10471 

8403 

190 

22727 

18692 

15873 

480 

13899 

10309 

8265 

195 

22472 

18433 

15625 

490 

13514 

10152 

8130 

200 

22222 

18182 

15385 

500 

13333 

10000 

8000 

* 


86 


ULTIMATE  STRENGTH  OF  WROUGHT  IRON 
COLUMNS. 


For  different  proportions  of  length  in  feet  (=L). 

To  least  radius  of  gyration  in  inches  (=r). 

Square  Bearing:  Pin  and  Square  Bearing:  Pin  Bearing: 

37500  37500  37500 

1 + .004  ^ l+.006^  1 + .008  ^ 

The  above  formulae  are  usually  written  with  length  (=1) 
expressed  in  inches  as  follows  : 

37500  37500  37500 

12  12  12 

H — H — 1 + -J 1 — 

36000  r2  24000  r2  18000  r2 

To  obtain  Safe  ) For  quiescent  loads,  as  in  buildings,  divide  by  4. 
Resistance  : / For  moving  loads,  as  in  bridges,  divide  by  5. 


L2 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Li 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

r2 

Square. 

Pin  and 
Square. 

Pin. 

1 

37351 

37276 

37202 

21 

34594 

33304 

32106 

2 

37202 

37056 

36909 

22 

34467 

33127 

31888 

3 

37055 

36837 

36621 

23 

34341 

32952 

31672 

4 

36909 

36621 

36337 

24 

34216 

32780 

31460 

5 

36765 

36408 

36058 

25 

34091 

32609 

31250 

6 

36621 

36197 

35783 

26 

33968 

32440 

31043 

7 

36478 

35989 

35511 

27 

33845 

32272 

30839 

8 

36337 

35783 

35244 

28 

33723 

32106 

30637 

9 

36197 

35579 

34981 

29 

33602 

31942 

30438 

10 

36058 

35377 

34722 

30 

33482 

31780 

30242 

11 

35920 

35178 

34467 

31 

33363 

31619 

30048 

12 

35782 

34981 

34215 

32 

33245 

31460 

29857 

13 

35646 

34787 

33967 

33 

33127 

31302 

29668 

14 

35511 

34594 

33723 

34 

33011 

31146 

29481 

15 

35377 

34401 

33482 

35 

32895 

30992 

29297 

16 

35244 

34215 

33245 

36 

32780 

30839 

29115 

17 

35112 

34029 

33011 

37 

32665 

30687 

28935 

18 

34981 

33845 

32780 

38 

32552 

30537 

28758 

19 

34851 

33663 

32552 

39 

32440 

30389 

28582 

20 

34722 

33482 

32328 

40 

32328 

30242 

28409 

87 


4 


*■ 


WROUGHT  IRON  COLUMNS— Continued. 


L 2 
r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

t! 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

Square. 

Pin  and 
Square. 

Pin. 

41 

32216 

30096 

28238 

81 

28323 

25236 

22755 

42 

32106 

29952 

28069 

82 

28238 

25134 

22645 

43 

31997 

29809 

27902 

83 

28153 

25033 

22536 

44 

31888 

29668 

27737 

84 

28069 

24934 

22428 

45 

31780 

29528 

27574 

85 

27985 

24834 

22321 

46 

31672 

29389 

27412 

86 

27902 

24736 

22216 

47 

31566 

29251 

27253 

87 

27819 

24639 

22111 

48 

31460 

29115 

27095 

88 

27737 

24542 

22007 

49 

31355 

28980 

26940 

89 

27655 

24446 

21904 

50 

31250 

28846 

26786 

90 

27574 

24351 

21802 

51 

31146 

28714 

26634 

91 

27493 

24256 

21701 

52 

31043 

28582 

26483 

92 

27412 

24162 

21601 

53 

30941 

28452 

26334 

93 

27332 

24069 

21502 

54 

30839 

28323 

26187 

94 

27253 

23977 

21404 

55 

30738 

28195 

26042 

95 

27174 

23885 

21307 

56 

30637 

28069 

25898 

96 

27095 

23794 

21210 

57 

30537 

27943 

25755 

97 

27017 

23704 

21115 

58 

30438 

27819 

25615 

98 

26940 

23615 

21020 

59 

30340 

27696 

25476 

99 

26862 

23526 

20926 

60 

30242 

27574 

25338 

100 

26786 

23438 

20833 

61 

30145 

27452 

25202 

101 

26709 

23350 

20741 

62 

30048 

27332 

25067 

102 

26634 

23263 

20650 

63 

29952 

27213 

24934 

103 

26558 

23177 

20559 

64 

29857 

27095 

24802 

104 

26483 

23091 

20469 

65 

29762 

26978 

24671 

105 

26408 

23006 

20380 

66 

29668 

26862 

24542 

106 

26334 

22922 

20292 

67 

29574 

26748 

24414 

107 

26261 

22838 

20205 

68 

29481 

26634 

24288 

108 

26187 

22755 

20118 

69 

29389 

26521 

24162 

109 

26114 

22672 

20032 

70 

29297 

26408 

24038 

110 

26042 

22590 

19947 

71 

29206 

26297 

23916 

111 

25970 

22509 

19862 

72 

29115 

26187 

23794 

112 

25898 

22428 

19778 

73 

29025 

26078 

23674 

113 

25826 

22348 

19695 

74 

28935 

25970 

23555 

114 

25755 

22268 

19613 

75 

28846 

25862 

23438 

115 

25685 

22189 

19531 

76 

28758 

25755 

23321 

116 

25615 

22111 

19450 

77 

28670 

25650 

23205 

117 

25545 

22033 

19370 

78 

28582 

25545 

23091 

118 

25476 

21956 

19290 

79 

28495 

25441 

22978 

119 

25407 

21879 

19211 

80 

28409 

25338 

22866 

120 

25338 

21802 

| 19133 

* — — — * 


88 


►I<  - - — - ■ — — — — 


WROUGHT  IRON  COLUMNS— Continued. 


L2 
r 2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

L2 

r2 

Ultimate  Strength  in  Lbs. 
per  square  inch. 

Square. 

Pin  and 
Square. 

Pin. 

Square. 

Pin  and 
Square.  * 

Pin. 

121 

25270 

21726 

19055 

205 

20604 

16816 

14205 

122 

25202 

21651 

18978 

210 

20380 

16593 

13993 

123 

25134 

21576 

18901 

215 

20161 

16376 

13787 

124 

25067 

21502 

18825 

220 

19947 

16164 

13587 

125 

25000 

21429 

18750 

225 

19737 

15957 

13393 

126 

24933 

21355 

18675 

230 

19531 

15756 

13204 

127 

24867 

21283 

18601 

235 

19330 

15560 

13021 

128 

24802 

21210 

18528 

240 

19133 

15369 

12842 

129 

24736 

21138 

18455 

245 

18939 

15182 

12669 

130 

24671 

21067 

18382 

250 

18750 

15000 

12500 

131 

24606 

20997 

18311 

255 

18564 

14822 

12336 

132 

24542 

20926 

18239 

260 

18382 

14648 

12175 

133 

24478 

20857 

18169 

265 

18204 

14479 

12019 

134 

24414 

20787 

18098 

270 

18029 

14313 

11867 

135 

24351 

20718 

18029 

275 

17857 

14151 

11719 

136 

24288 

20650 

17960 

280 

17689 

13992 

11574 

137 

24225 

20582 

17891 

285 

17523 

13838 

11433 

138 

24162 

20514 

17823 

290 

17361 

13686 

11295 

139 

24100 

20447 

17756 

295 

17202 

13538 

11161 

140 

24039 

20380 

17689 

300 

17045 

13393 

11029 

141 

23977 

20314 

17622 

310 

16741 

13112 

10776 

142 

23916 

20248 

17556 

320 

16447 

12842 

10534 

143 

23855 

20183 

17491 

330 

16164 

12584 

10302 

144 

23794 

20118 

17426 

340 

15890 

12336 

10081 

145 

23734 

20053 

17361 

350 

15625 

12097 

9868 

146 

23674 

19989 

17297 

360 

15369 

11867 

9665 

147 

23615 

19926 

17233 

370 

15121 

11646 

9470 

148 

23555 

19862 

17170 

380 

14881 

11433 

9282 

149 

23496 

19799 

17108 

390 

14648 

11228 

9102 

150 

23437 

19737 

17045 

400 

14423 

11029 

8929 

155 

23148 

19430 

16741 

410 

14205 

10838 

8762 

160 

22866 

19133 

16447 

420 

13993 

10653 

8601 

165 

22590 

18844 

16164 

430 

13787 

10475 

8446 

170 

22321 

18564 

15890 

440 

13587 

10302 

8296 

175 

22059 

18293 

15625 

450 

13393 

10135 

8152 

180 

21802 

18029 

15369 

460 

13204 

9973 

8013 

185 

21552 

17773 

15121 

470 

13021 

9817 

7878 

1 190' 

21307 

17523 

14881 

480 

12843 

9665 

7748 

195 

21067 

17281 

14648 

490 

12669 

9518 

7622 

8 200 

| 20833 

17045 

14423 

| 500 

12500 

9375 

7500 

H 

89 


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o 

02 


02 


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02 


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02 


3 


50 

02 


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02 


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•* 


95 


■* 


TABLE  OF  SQUARE  ROOTS. 


Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

1 

1.00 

51 

7.14 

101 

10.05 

151 

12.29 

201 

14.18 

2 

1.41 

52 

7.21 

102 

10.10 

152 

12.33 

202 

14.21 

3 

1.73 

53 

7.28 

103 

10.15 

153 

12.37 

203 

14.25 

4 

2.00 

54 

7.35 

104 

10.20 

154 

12.41 

204 

14.28 

5 

2.24 

55 

7.42 

105 

10.25 

155 

12.45 

205 

14.32 

6 

2.45 

56 

7.48 

106 

10.30 

156 

12.49 

206 

14.35 

7 

2.65 

57 

7.55 

107 

10.34 

157 

12.53 

207 

14.39 

8 

2.83 

58 

7.62 

108 

10.39 

158 

12.57 

208 

14.42 

9 

3.00 

59 

7.68 

109 

10.44 

159 

12.61 

209 

14.46 

10 

3.16 

60 

7.75 

110 

10.49 

160 

12.65 

210 

14.49 

11 

3.32 

61 

7.81 

111 

10.54 

161 

12.69 

211 

14.53 

12 

3.46 

62 

7.87 

112 

10.58 

162 

12.73 

212 

14.56 

13 

3.61 

63 

7.94 

113 

10.63 

163 

12.77 

213 

14.59 

14 

3.74 

64 

8.00 

114 

10.68 

164 

12.81 

214 

14.63 

15 

3.87 

65 

8.06 

115 

10.72 

165 

12.85 

215 

14.66 

16 

4.00 

66 

8.12 

116 

10.77 

166 

12.88 

216 

14.70 

17 

4.12 

67 

8.19 

117 

10.82 

167 

12.92 

217 

14.73 

18 

4.24 

68 

8.25 

118 

10.86 

168 

12.96 

218 

14.76 

19 

4.36 

69 

8.31 

119 

10.91 

169 

13.00 

219 

14.80 

20 

4.47 

70 

8.37 

120 

10.95 

170 

13.04 

220 

14.83 

21 

4.58 

71 

8.43 

121 

11.00 

171 

13.08 

221 

14.87 

22 

4.69 

72 

8.49 

122 

11.05 

172 

13.11 

222 

14.90 

23 

4.80 

73 

8.54 

123 

11.09 

173 

13.15 

223 

14.93 

24 

4.90 

74 

8.60 

124 

11.14 

174 

13.19 

224 

14.97 

25 

5.00 

75 

8.66 

125 

11.18 

175 

13.23 

225 

15.00 

26 

5.10 

76 

8 72 

126 

11.22 

176 

13.27 

226 

15.03 

27 

5.20 

77 

8 77 

127 

11.27 

177 

13.30 

227 

15.07 

28 

5.29 

78 

8.83 

128 

11.31 

178 

13.34 

228 

15.10 

29 

5.39 

79 

8.89 

129 

11.36 

179 

13.38 

229 

15.13 

30 

5.48 

80 

8.94 

130 

11.40 

180 

13.42 

230 

15.17 

31 

5.57 

81 

9.00 

131 

11.45 

181 

13.45 

231 

15.20 

32 

5.66 

82 

9.06 

132 

11.49 

182 

13.49 

232 

15.23 

33 

5.74 

83 

9.11 

133 

11.53 

183 

13.53 

233 

15.26 

34 

5.83 

84 

9.  17 

134 

11  58 

184 

13.56 

234 

15.30 

35 

5.92 

85 

9.22 

135 

11.62 

185 

13.60 

235 

15.33 

36 

6.00 

86 

9 27 

136 

11.66 

186 

13.64 

236 

15.36 

37 

6.08 

87 

9.33 

137 

11.70 

187 

13.67 

237 

15.39 

38 

6.16 

88 

9.38 

138 

11.75 

188 

13.71 

238 

15.43 

39 

6.24 

89 

9.43 

139 

11.79 

189 

13.75 

239 

15.46 

40 

6.32 

90 

9.49 

140 

11.83 

190 

13.78 

240 

15.49 

41 

6.40 

91 

9.54 

141 

11.87 

191 

13.82 

241 

15.52 

42 

6.48 

92 

9.59 

142 

11.92 

192 

13.86 

242 

15.56 

43 

6.56 

93 

9.64 

143 

11.96 

193 

13.89 

243 

15.59 

44 

6.63 

94 

9.70 

144 

12.00 

194 

13.93 

244 

15.62 

45 

6.71 

95 

9.75 

145 

12.04 

195 

13.96 

245 

15.65 

46 

6.78 

96 

9.80 

146 

12.08 

196 

14.00 

246 

15.68 

47 

6.86 

97 

9.85 

147 

12.12 

197 

14.04 

247 

15.72 

48 

6.93 

98 

9.90 

148 

12.17 

198 

14.07 

248 

15.75 

49 

7.00 

99 

9.95 

149 

12.21 

199 

14.11 

249 

15.78 

50 

7.07 

lOO 

10.00 

150 

12.25 

200 

14.14 

250 

15.81 

► 

96 


! 




TABLE  OF  SQUARE  ROOTS 

• 

— T 

; Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

251 

15.84 

301 

17.35 

351 

18.73 

401 

20.02 

451 

21.24 

252 

15.87 

302 

17.38 

352 

18.76 

402 

20.05 

452 

21.26 

253 

15.91 

303 

17.41 

353 

18.79 

403 

30.07 

453 

21.28 

254 

15.94 

304 

17.44 

354 

18.81 

404 

20.10 

454 

21.31 

255 

15.97 

305 

17.46 

355 

18.84 

405 

20.12 

455 

21.33 

256 

16.00 

306 

17.49 

356 

18.87 

406 

20.15 

456 

21.35 

257 

16.03 

307 

17.52 

357 

18.89 

407 

120.17 

457 

21.38 

258 

16.06 

308 

17.55 

358 

18.92 

408 

20.20 

458 

21.40 

259 

16.09 

309 

17.58 

359 

18.95 

409 

20.22 

459 

21.42 

260 

16.12 

310 

17.61 

360 

18.97 

410 

20.25 

460 

21.45 

261 

16.16 

311 

17.64 

361 

19.00 

411 

20.27 

461 

21.47 

262 

16.19 

312 

17.66 

362 

19.03 

412 

20.30 

462 

21. .49 

263 

16.22 

313 

17.69 

363 

19  05 

413 

20.32 

463 

21.52 

264 

16.25 

314 

17.72 

364 

19.08 

414 

20.35 

464 

21.54 

265 

16.28 

315 

17.75 

365 

19.10 

415 

| 20.37 

465 

21.56 

266 

16.31 

316 

17.78 

366 

19.13 

416 

20.40 

466 

21.59 

267 

16.34 

317 

17.80 

367 

19.16 

417 

20.42 

467 

21.61 

268 

16.37 

318 

17.83 

368 

19.18 

418 

20.45 

468 

21.63 

269 

16.40 

319 

17.86 

369 

19.21 

419 

1 20.47 

469 

21.66 

270 

16.43 

320 

17.89 

370 

19.24 

420 

120.49 

470 

21.68 

; 271 

16.46 

321 

17.92 

371 

19.26 

421 

20.52 

471 

21.70 

272 

16.49 

322 

17.94 

372 

19.29 

422 

| 20.54 

472 

21  73 

273 

16.52 

323 

17  97 

373 

19.31 

423 

1 20.57 

473 

21.75 

! 274 

16.55 

324 

18.00 

374 

19  34 

424 

20.59 

474 

21.77 

275 

16.58 

325 

18.03 

375 

19.36 

425 

20.62 

475 

21.79 

276 

16.61 

326 

18  06 

376 

19.39 

426 

20.64 

476 

21.82 

277 

16.64 

327 

18  08 

377 

19.42 

427 

20.66 

477 

21.84 

278 

16.67 

328 

18  11 

378 

19.44 

428 

20.69 

478 

21  86 

279 

16.70 

329 

18.14 

379 

19.47 

429 

20.71 

479 

21 .89 

280 

16.73 

330 

18.17 

380 

19.49 

430 

20.74 

480 

21.91 

281 

16.76 

331 

18.19 

381 

19.52 

431 

20.76 

481 

21.93 

282 

16.79 

332 

18.22 

382 

19.54 

432 

20.78 

482 

21.95 

283 

16.82 

333 

18.25 

383 

19.57 

433 

20.81 

483 

21.98 

284 

16.85 

334 

18.28 

384 

19.60 

434 

20.83 

484 

22.00 

285 

16.88 

335 

18.30 

385 

19.62 

435 

20  86 

485 

22.02 

! 286 

16.91 

336 

18  33 

386 

19.65 

436 

20.88 

486 

22.05 

287 

16.94 

337 

18  36 

387 

19.67 

437 

20.90 

487 

22.07 

l 288 

16.97 

338 

18.38 

388 

19  70 

438 

20.93 

488 

22.09 

j 289 

17.00 

339 

18.41 

389 

16.72 

439 

20  95 

489 

22.11 

290 

17.03 

340 

18.44 

390 

19.75 

440 

20.98 

490 

22.14 

291 

17.06 

341 

18.47 

391 

19.77 

441 

21.00 

491 

22.16 

i 292 

17.09 

342 

18.49 

392 

19.80 

442 

21.02 

492 

22.18 

293 

17.12 

343 

18  52 

393 

19  82 

443 

21.05 

493 

22.20 

! 294 

17.15 

344 

18  55 

394 

19.85 

444 

21.07 

494 

22.23 

295 

17.18 

345 

18.57 

395 

19.37 

445 

21.10 

495 

22.25 

296 

17.20 

346 

18.60 

396 

19.90 

446 

21.12 

496 

22.27 

297 

17.23 

347 

18.63 

397 

19  92 

447 

21.14 

497 

22.29 

298 

17.26 

348 

18.65 

398 

19  95 

448 

21.17 

498 

22.32 

299 

17.29 

349 

18  68 

399 

19  97 

449 

21.19 

499 

22.34 

300 

17.32 

350 

18.71 

400 

20.00 

450 

21.21 

500 

22.36 

TABLE  OF  SQUARE  ROOTS. 


Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

501 

22.38 

551 

23.47 

601 

24.52 

651 

25.51 

701 

26.48 

502 

22.41 

552 

23.49 

602 

24.54 

652 

25.53 

702 

26.50 

508 

22.43 

553 

23.52 

603 

24.56 

653 

25.55 

703 

26.51 

504 

22.45 

554 

23.54 

604 

24.58 

654 

25.57 

704 

26.53 

505 

22.47 

555 

23.56 

605 

24.60 

655 

25.59 

705 

26.55 

506 

22.49 

556 

23.58 

606 

24.62 

656 

25.61 

706 

26.57 

507 

22.52 

557 

23.60 

607 

24.64 

657 

25.63 

707 

26.59 

508 

22.54 

558 

23.62 

608 

24.66 

658 

25.65 

708 

26.61 

509 

22.56 

559 

23.64 

609 

24.68 

659 

25.67 

709 

26.63 

510 

22.58 

560 

23.66 

610 

24.70 

660 

25.69 

710 

26.65 

511 

22.61 

561 

23.69 

611 

24.72 

661 

25.71 

711 

26.66 

512 

22.63 

562 

23  71 

612 

24.74 

662 

25.73 

712 

26.68 

513 

22.65 

563 

23.73 

613 

24.76 

663 

25.75 

713 

26.70 

514 

22.67 

564 

23.75 

614 

24.78 

664 

25.77 

714 

26.72 

515 

22.69 

565 

23.77 

615 

24.80 

665 

25.79 

715 

26.74 

516 

22.72 

566 

23.79 

616 

24.82 

666 

25.81 

716 

26.76 

517 

22.74 

567 

23.81 

617 

24.84 

667 

25.83 

717 

26.78 

518 

22.76 

568 

23.83 

618 

24.86 

668 

25.85 

718 

26.80 

519 

22.78 

569 

23.85 

619 

24.88 

669 

25.87 

719 

26.81 

520 

22.80 

570 

23.87 

620 

24.90 

670 

25.88 

720 

26.83 

521 

22.83 

571 

23.90 

621 

24.92 

671 

25.90 

721 

26.85 

522 

22.85 

572 

23.92 

622 

24.94 

672 

25.92 

722 

26.87 

523 

22.87 

573 

23.94 

623 

24.96 

673 

25.94 

723 

26.89 

524 

22.89 

574 

23.96 

624 

24.98 

674 

25.96 

724 

26.91 

525 

22.91 

575 

23.98 

625 

25.00 

675 

25.98 

725 

26.93 

526 

22.93 

576 

24.00 

626 

25.02 

676 

26.00 

726 

26.94 

527 

22.96 

577 

24.02 

627 

25.04 

677 

26.02 

727 

26.96 

528 

22.98 

578 

24.04 

628 

25.06 

678 

26.04 

728 

26.98 

529 

23.00 

579 

24.06 

629 

25.08 

679 

26.06 

729 

27.00 

530 

23.02 

580 

24.08 

630 

25.10 

680 

26.08 

730 

27.02 

531 

23.04 

581 

24.10 

631 

25.12 

681 

26.10 

731 

27.04 

532 

23.07 

582 

24.12 

632 

25.14 

682 

26.12 

732 

27.06 

533 

23.09 

583 

24.15 

633 

25.16 

683 

26.13 

733 

27.07 

534 

23.11 

584 

24.17 

634 

25.18 

684 

26.15 

734 

27.09 

535 

23.13 

585 

24.19 

635 

25.20 

685 

26.17 

735 

27.11 

536 

23.15 

586 

24.21 

636 

25.22 

686 

26.19 

736 

27.13 

537 

23.17 

587 

24.23 

637 

25.24 

687 

26.21 

737 

27.15 

538 

23.19 

588 

24.25 

638 

25.26 

688 

26.23 

738 

27.17 

539 

23.22 

589 

24.27 

639 

25.28 

689 

26.25 

739 

27.18 

540 

23.24 

590 

24.29 

640 

25.30 

690 

26.27 

740 

27.20 

541 

23.26 

591 

24.31 

641 

25.32 

691 

26.29 

741 

27.22 

542 

23.28 

592 

24.33 

642 

25.34 

692 

26.31 

742 

27.24 

543 

23.30 

593 

24.35 

643 

25.36 

693 

26.32 

743 

27.26 

544 

23.32 

594 

24.37 

644 

25.38 

694 

26.34 

744 

27.28 

545 

23.35 

595 

24.39 

645 

25.40 

695 

26.36 

745 

27.29 

546 

23.37 

596 

24.41 

646 

25.42 

696 

26.38 

746 

27.31 

547 

23.39 

597 

24.43 

647 

25.44 

697 

26.40 

747 

27.33 

548 

23.41 

598 

24.45 

648 

25.46 

698 

26.42 

748 

27.35 

549 

23.43 

599 

24.47 

649 

25.48 

699 

26.44 

749 

27.37 

550 

u 

23.45 

600 

24.49 

650 

25.50 

700 

26.46 

750 

27.39 

a 

98 


1 — > 

TABLE  OF  SQUARE  ROOTS. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

Nos. 

Roots. 

751 

27.40 

801 

28.30 

851 

29.17 

901 

30.02 

951 

30.84 

752 

27.42 

802 

28.32 

852 

29.19 

902 

30.03 

952 

30.85 

753 

27.44 

803 

28.34 

853 

29.21 

903 

30.05 

953 

30.87 

754 

27.46 

804 

28.35 

854 

29.22 

904 

30.07 

954 

30.89 

755 

27.48 

805 

28.37 

855 

29.24 

905 

30.08 

955 

30.90 

756 

27.50 

806 

28.39 

856 

29.26 

906 

30.10 

956 

30.92 

757  27.51 

807 

28.41 

857 

29.27 

907 

30.12 

957 

30.94 

758  27.53 

808 

28.43 

858 

29.29 

908 

30.13 

958 

30.95 

759  27.55 

809 

28.44 

859 

29.31 

909 

30.15 

959 

30.97 

760|  27.57 

810 

28.46 

860 

29.33 

910 

30.17 

960 

30.98 

761' 

27.59 

811 

28.48 

861 

29.34 

911 

30.18 

961 

31.00 

762  27.60 

812 

28.50 

862 

29.36 

912 

30.20 

962 

31.02 

763  27.62 

813 

28.51 

863 

29.38 

913 

30.22 

963 

31.03 

764  27.64 

814 

28.53 

864 

29.39 

914 

30.23 

964 

31.05 

765  27.66 

815 

28.55 

865 

29.41 

915 

30.25 

965 

31.06 

766  27.68 

816 

28.57 

866 

29.43 

916 

30.27 

966 

31.08 

767  27.69 

817 

28.58 

867 

29.44 

917 

30.28 

967 

31.10 

768  27.71 

818 

28.60 

868 

29.46 

918 

30.30 

968 

31.11 

769  27.73 

819 

28.62 

869 

29.48 

919 

30.32 

969 

31.13 

770  27.75 

820 

28.64 

870 

29.50 

920 

30.33 

970 

31.14 

771 

27.71 

821 

23.65 

871 

29.51 

921 

30.35 

971 

31.16 

772  27.78 

822 

28.67 

872 

29.53 

922 

30.36 

972 

31.18 

773  27.80 

823 

28.69 

873 

29.55 

923 

30.38 

973 

31.19 

774  27.82 

824 

28.71 

874 

29.56 

924 

30.40 

974 

31.21 

775  27.84 

825 

28.72 

875 

29.58 

925 

30.41 

975 

31.22 

776  27.86 

826 

28.74 

876 

29.60 

926 

30.43 

976 

31.24 

777,  27.87 

827 

28.76 

877 

29.61 

927 

30.45 

977 

31.26 

778  27.89 

828 

28.77 

878 

29.63 

928 

30.46 

978 

31.27 

779  27.91 

829 

28.79 

879 

29.65 

929 

30.48 

979 

31.29 

780  27.93 

830 

28.81 

880 

29.66 

930 

30.50 

980 

31.30 

781 

27.95 

831 

28.83 

881 

29.68 

931 

30.51 

981 

31.32 

782  27.96 

832 

28.84 

882 

29.70 

932 

30.53 

982 

31.34 

783  27.98 

833 

28.86 

883 

29.72 

933 

30.55 

983 

31.35 

784  28.00 

834 

28.88 

884 

29.73 

934 

30.56 

984 

31.37 

785  28.02 

835 

28.90 

885 

29.75 

935 

30.58 

985 

31.38 

786  28.04 

836 

28.91 

886 

29.77 

936 

30.59 

986 

31.40 

787  28.05 

837 

28.93 

887 

29.78 

937 

30.61 

987 

31.42 

788  28.07 

838 

28.95 

888 

29.80 

938 

30.63 

988 

31.43 

789  28.09 

839 

28.97 

889 

29.82 

939 

30.64 

989 

31.45 

790  28.11 

840 

28.98 

890 

29.83 

940 

30.66 

990 

31.46 

791 

! 28.12 

841 

29.00 

891 

29.85 

941 

30.68 

991 

31.48 

792  28.14 

842 

29.02 

892 

29.87 

942 

30.69 

992 

31.50 

793 

28.16 

843 

29.03 

893 

29.88 

943 

30.71 

993 

31.51 

794 

28.18 

844 

29.05 

894 

29.90 

944 

30.72 

994 

31.53 

795 

28.20 

,845 

29.07 

895 

29.92 

945 

30.74 

995 

31.54 

796 

28.21 

846 

29.09 

896 

29.93 

946 

30.76 

996 

31.56 

797  28.23 

847 

29.10 

897 

29.95 

947 

30.77 

997 

31.58 

798  28.25 

848 

29.12 

898 

29.97 

948 

30.79 

998 

31.59 

799,  28.27 

849 

29.14 

899 

29.98 

949 

30.81 

999 

31.61 

8001  28.28 



850 

29.15 

900 

30.00 

950 

30.82 

lOOO 

31  62 

99 


TABLE  OF  SQUARE  ROOTS. 


1001 

1002 

1003 

1004 

1005 

1006 

1007 

1008 

1009 

1010 

1011 

1012 

1013 

1014 

1015 

1016 

1017 

1018 

1019 

1020 

1021 

1022 

1023 

1024 

1025 

1026 

1027 

1028 

1029 

1030 

1031 

1032 

1033 

1034 

1035 

1036 

1037 

1038 

1039 

1040 

1041 

1042 

1043 

1044 

1045 

1046 

1047 

1048 

1049 

1050 


Roots. 


31.64 

31.65 
31.67 

31.69 

31.70 

31.72 

31.73 
31.75 


If  os. 


1051 

1052 

1053 

1054 

1055 

1056 

1057 

1058 


31.76  1059 
31.78  1060 


31.80 

31.81 

31.83 

31.84 

31.86 

31.87 
31.89 

31.91 

31.92 

31.94 

31.95 

31.97 

31.98 
32.00 

32.02 

32.03 

32.05 

32.06 

32.08 

32.09 


32. 

32. 

32. 

32. 

32. 

32. 

32. 

32. 

32. 

32. 


1061 

1062 

1063 

1064 

1065 

1066 

1067 

1068 

1069 

1070 

1071 

1072 

1073 

1074 

1075 

1076 

1077 

1078 

1079 

1080 


11  1081 
12  1082 
14  1083 

16  1084 

17  1085 


19 

20 
22 
23 
25 


32.26 

32.28 

32.30 

32.31 

32.33 

32.34 

32.36 

32.37 
32.39 


Roots. 


32.42 

32.43 
32.45 

32.47 

32.48 

32.50 

32.51 

32.53 

32.54 

32.56 

32.57 

32.59 

32.60 

32.62 

32.63 

32.65 

32.66 
32.68 

32.70 

32.71 

32.73 

32.74 

32.76 

32.77 

32.79 

32.80 

32.82 

32.83 

32.85 

32.86 


1101 

1102 

1103 

1104 

1105 

1106 

1107 

1108 

1109 

1110 

1111 

1112 

1113 

1114 

1115 

1116 

1117 

1118 

1119 

1120 

1121 

1122 

1123 

1124 

1125 

1126 

1127 

1128 

1129 

1130 


32.88  1131 


1086 

1087 

1088 

1089 

1090 

1091 

1092 

1093 

1094 

1095 

1096 

1097 

1098 

1099 


32.40  IlOO 


32.89 

32.91 

32.92 

32.94 

32.95 

32.97 

32.98 
33.00 

33.02 

33.03 

33.05 

33.06 

33.08 

33.09 

33.11 

33.12 

33.14 

33.15 
33.17 


Roots. 


1132 

1133 

1134 

1135 

1136 

1137 

1138 

1139 

1140 

1141 

1142 

1143 

1144 

1145 

1146 

1147 

1148 

1149 

1150 


33.18 

33.20 

33.21 

33.23 

33.24 

33.26 

33.27 

33.29 

33.30 

33.32 

33.33 

33.35 

33.36 

33.38 

33.39 

33.41 

33.42 

33.44 

33.45 

33.47 

33.48 

33.50 

33.51 

33.53 

33.54 

33.56 

33.57 

33.59 

33.60 

33.62 

33.63 

33.65 

33.66 

33.67 

33.69 

33.70 

33.72 

33.73 

33.75 

33.76 

33.78 

33.79 

33.81 

33.82 

33.84 

33.85 

33.87 

33.88 

33.90 

33.91 


Nos. 


Roots. 


1151 

1152 

1153 

1154 

1155 

1156 

1157 

1158 

1159 

1160 

1161 

1162 

1163 

1164 

1165 

1166 

1167 

1168 

1169 

1170 

1171 

1172 

1173 

1174 

1175 

1176 

1177 

1178 

1179 

1180 

1181 

1182 

1183 

1184 

1185 

1186 

1187 

1188 

1189 

1190 

1191 

1192 

1193 

1194 

1195 

1196 

1197 

1198 

1199 

1200 


33.93 

33.94 

33.96 

33.97 
33.99 

34.00 

34.01 

34.03 

34.04 

34.06 

34.07 

34.09 

34.10 

34.12 

34.13 

34.15 

34.16 

34.18 

34.19 

34.21 

34.22 

34.23 
34.25 


Nos. 


1201 

1202 

1203 

1204 

1205 

1206 

1207 

1208 

1209 

1210 

1211 

1212 

1213 

1214 

1215 

1216 

1217 

1218 

1219 

1220 

1221 

1222 

1223 


34.26  1224 
34.28  1225 


34.29 

34.31 

34.32 

34.34 

34.35 

34.37 

34.38 

34.39 

34.41 

34.42 

34.44 

34.45 

34.47 

34.48 

34.50 

34.51 

34.53 

34.54 

34.55 

34.57 

34.58 

34.60 

34.61 

34.63 

34.64 


1226 

1227 

1228 

1229 

1230 

1231 

1232 

1233 

1234 

1235 

1236 

1237 

1238 

1239 

1240 

1241 

1242 

1243 

1244 

1245 

1246 

1247 

1248 

1249 

1250 


Roots. 


34.66 

34.67 

34.68 

34.70 

34.71 

34.73 

34.74 

34.76 

34.77 

34.79 

34.80 

34.81 

34.83 

34.84 

34.86 

34.87 

34.89 

34.90 

34.91 

34.93 

34.94 

34.96 

34.97 
34.99 

35.00 

35.01 

35.03 

35.04 

35.06 

35.07 

35.09 

35.10 

35.11 

35.13 

35.14 

35.16 

35.17 

35.19 

35.20 

35.21 

35.23 

35.24 

35.26 

35.27 

35.28 

35.30 

35.31 

35.33 

35.34 
35.36 


lOO 


i 


TABLE  OF  SQUARE  ROOTS. 


Nos.  Roots.  Nos.  ; Roots. 


1251 

1252 

1253 

1254 

1255 

1256 

1257 

1258 

1259 

1260 

1261 

1262 

1263 

1264 

1265 

1266 

1267 

1268 

1269 

1270 

1271 

1272 

1273 

1274 

1275 

1276 

1277 

1278 

1279 

1280 

1281 

1282 

1283 

1284 

1285 

1286 

1287 

1288 
„ 1289 

1290 

1291 

1292 

1293 

1294 

1295 

1296 

1297 

1298 

1299 

1300 


35.37 

35.38 

35.40 

35.41 

35.43 

55.44 

35.45 

35.47 

35.48 

35.50 

35.51 

35.52 

35.54 

35.55 
35.57 


35. 

35 

35 

35. 

35. 

35. 

35 

35 

35 

35. 


58 

59 
61 
62 
.64 

65 

67 

68 
691 
71 


35  72 

35.74 

35.75 

35.76 

35.78 

35.79 

35.81 

35.82 

35.83 

35.85 

35.86 

35.87 

35.89 

35.90 

35.92 

35.93 

35.94 

35.96 

35.97 
35.99 

<1* 

36.00 

36.01 

36.03 

36.04 
36.06 


1301  36.07 

1302  36.08 

1303  36.10 

1304  36.11 

1305  36.12 


1306 

1307 


36.14 

36.15 


1308  36  .17 

1309  36.18 

1310  36.19 


1311 

1312 

1313 

1314 

1315 


36.21 

36.22 

36.24 

36.25 

36.26 


1316  36.28 
1317136.29 
1318;  36.30 
1319,  36.32 
1320  36.33 


1321 

1322 

1323 


36  35 
36  36 
36.37 

1324  36.39 

1325  36.40 


1326 

1327 

1328 

1329 

1330 

1331 

1332 

1333 

1334 

1335 

1336 

1337 

1338 

1339 

1340 

1341 

1342 

1343 

1344 

1345 

1346 

1347 

1348 

1349 

1350 


36.41 

36.43 

36.44 

36.46 

36.47 

36.48 

36.50 

36.51 

36.52 
36.54 

36  55 
36  57 
36  58 
36.59 

36.61 

36.62 
36  63 
36  65 
36  66 
36.67 

36  69 
36.70 
36  72 
36  73 
36.74 


1351 

1352 

1353 

1354 

1355 

1356 

1357 

1358 

1359 

1360 

1361 

1362 

1363 

1364 

1365 


1366  36 

1367  36 


Roots.  Nos.  Roots.  Nos.  Roots, 


36.76 

36.77 

36.78 

36.80 

36.81 

36.82 

36.84 

36.85 
36  86 
36.88 

36  89 

36.91 

36.92 
36  93 
36.95 


1368 

1369 

1370 

1371 

1372 

1373 

1374 

1375 

1376 

1377 

1378 

1379 

1380 

1381 

1382 

1383 

1384 

1385 

1386 

1387 

1388 

1389 

1390 

1391 

1392 

1393 

1394 

1395 

1396 

1397 

1398 

1399 

1400 


36 

37 
37 


96 

97 
99 
00 
01 


37.03 

37.04 

37.05 

37.07 

37.08 

37.09 
37.11 
37  12 
37.13 

37.15 

37.16 

37.18 

37.19 

37.20 
37.22 

37  23 
37.24 

37.26 

37.27 

37.28 


37 

37. 

37 

37. 

37. 

37 

37 

37 

37. 

37 


30| 

31 

32 

34 

35 

36 

38 

39 

40 
42 


1401 

1402 

1403 

1404 

1405 

1406 

1407 

1408 

1409 

1410 

1411 

1412 

1413 

1414 

1415 

1416 

1417 

1418 

1419 

1420 

1421 

1422 

1423 

1424 

1425 

1426 

1427 

1428 

1429 

1430 

1431 

1432 

1433 

1434 

1435 

1436 

1437 

1438 

1439 

1440 

1441 

1442 

1443 

1444 

1445 

1446 

1447 

1448 

1449 

1450 


37.43 

37.44 

37.46 

37.47 

37.48 

37.50 

37.51 

37.52 

37.54 

37.55 

37.56 

37.58 

37.59 

37.60 
37.62 


37 

37 

37 

37. 

37. 

37. 

37 

37 

37. 

37. 


63 

64 
66 

67 

68 

70 

71 

72 

74 

75 


37.76, 

37.78 

37.79 

37.80 

37.82 

37.83 

37.84 

37.85 

37.87 

37.88 

37  89 

37.91 

37.92 
37.931 

37.95 

37.96 

37.97 
37.99 

38.001 

38.01 

38.03 

38.04 

38  05 
38  07 

38.081 


1451 

1452 

1453 

1454 

1455 

# I 

1456 

1457 

1458 

1459 

1460 

1461 

1462 

1463 

1464 

1465 

1466 

1467 

1468 

1469 

1470 

1471 

1472 

1473 

1474 

1475 

1476 

1477 

1478 

1479 

1480 

1481 

1482 

1483 

1484 

1485 

1486 

1487 

1488 

1489 

1490 

1491 

1492 

1493 

1494 

1495 

1496 

1497 

1498 

1499 

1500 


38.09 
38  11 

38.12 

38.13 

38.14 

38.16 

38.17 

38.18 

38.20 

38.21 

38.22 
38  24 

38.25 

38.26 

38.28 

38.29 

38.30 

38.31 

38.33 

38.34 

38^35 
38.37 
38  38 
38.39 

38.41 

38.42 

38.43 

38.44 

38.46 

38.47 

38.48 

38.50 

38.51 

38.52 

38.54 

38.55 

38.56 

38.57 

38.59 

38.60 

38.61 

38.63 

38.64 

38.65 

38.67 

38.68 

38.69 

38.70 

38.72 

38.73 


101 


TABLE  OF  SQUARE  ROOTS. 


Nos.  Roots.  Nos.  Roots.  Ncs.  Roots.  Nos.  Roots.  Nos.  Roots. 


1501 

1502 

1503 

1504 

1505 

1506 

1507 

1508 

1509 

1510 

1511 

1512 

1513 

1514 

1515 

1516 

1517 

1518 

1519 

1520 

1521 

1522 

1523 

1524 

1525 

1526 

1527 

1528 

1529 

1530 

1531 

1532 

1533 

1534 

1535 

1536 

1537 

1538 

1539 

1540 

1541 

1542 

1543 

1544 

1545 

1546 

1547 

1548 

1549 

1550 


38.74 

38.76 

38.77 

38.78 

38.79 

38.81 

38.82 

38.83 

38.85 

38.86 

38.87 

38.88 

38.90 

38.91 

38.92 

38.94 

38.95 

38.96 

38.97 
38.99 

39.00 

39.01 

39.03 

39.04 

39.05 

39.06 

39.08 

39.09 

39.10 

39.12 

39.13 

39.14 

39.15 

39.17 

39.18 

39.19 

39.20 

39.22 

39.23 

39.24 

39.26 

39.27 

39.28 

39.29 

39.31 

39.32 

39.33 

39.34 

39.36 

39.37 


1551 

1552 

1553 

1554 

1555 

1556 

1557 

1558 

1559 

1560 

1561 

1562 

1563 

1564 

1565 

1566 

1567 

1568 

1569 

1570 

1571 

1572 

1573 

1574 

1575 

1576 

1577 

1578 

1579 

1580 

1581 

1582 

1583 

1584 

1585 

1586 

1587 

1588 

1589 

1590 

1591 

1592 

1593 

1594 

1595 

1596 

1597 

1598 

1599 

1600 


39.38 

39.40 

39.41 

39.42 

39.43 

39.45 

39.46 

39.47 

39.48 

39.50 

39.51 

39.52 

39.53 

39.55 

39.56 

39.57 

39.59 

39.60 

39.61 

39.62 

39.64 

39.65 

39.66 

39.67 

39.69 

39.70 

39.71 

39.72 

39.74 

39.75 

39.76 

39.77 

39.79 

39.80 

39.81 

39.82 

39.84 

39.85 

39.86 

39.87 

39.89 

39.90 

39.91 

39.92 

39.94 

39.95 

39.96 

39.97 
39.99 
40.00 


1601 

1602 

1603 

1604 

1605 

1606 

1607 

1608 

1609 

1610 

1611 

1612 

1613 

1614 

1615 

1616 

1617 

1618 

1619 

1620 

1621 

1622 

1623 

1624 

1625 

1626 

1627 

1628 

1629 

1630 

1631 

1632 

1633 

1634 

1635 

1636 

1637 

1638 

1639 

1640 

1641 

1642 

1643 

1644 

1645 

1646 

1647 

1648 

1649 

1650 


40.01 

40.02 

40.04 

40.05 

40.06 

40.07 

40.09 

40.10 

40.11 

40.12 

40.14 

40.15 

40.16 

40.17 

40.19 

40.20 

40.21 

40.22 

40.24 

40.25 

40.26 

40.27 

40.29 

40.30 

40.31 

40.32 

40.34 

40.35 

40.36 

40.37 

40.39 

40.40 

40.41 

40.42 

40.44 

40.45 

40.46 

40.47 

40.48 

40.50 

40.51 

40.52 

40.53 
40.5  5 

40.56 

40.57 

40.58 

40.60 

40.61 

40.62 


1651 

1652 

1653 

1654 

1655 

1656 

1657 

1658 

1659 

1660 

1661 

1662 

1663 

1664 

1665 

1666 

1667 

1668 

1669 

1670 

1671 

1672 

1673 

1674 

1675 

1676 

1677 

1678 

1679 

1680 

1681 

1682 

1683 

1684 

1685 

1686 

1687 

1688 

1689 

1690 

1691 

1692 

1693 

1694 

1695 

1696 

1697 

1698 

1699 

1700 


1701 

1702 

1703 

1704 

1705 

1706 

1707 

1708 

1709 

1710 

1711 

1712 

1713 

1714 

1715 

1716 

1717 

1718 

1719 

1720 

1721 

1722 

1723 

1724 

1725 

1726 

1727 

1728 

1729 

1730 

1731 

1732 

1733 

1734 

1735 

1736 

1737 

1738 

1739 

1740 

1741 

1742 

1743 

1744 

1745 

1746 

1747 

1748 

1749 
41.231750 


40.63 

40.64 

40.66 

40.67 

40.68 

40.69 

40.71 

40.72 

40.73 

40.74 

40.76 

40.77 

40.78 

40.79 

40.80 

40.82 

40.83 

40.84 

40.85 

40.87 

40.88 

46.89 

40.90 

40.91 

40.93 

40.94 

40.95 

40.96 

40.98 

40.99 

41.00 

41.01 

41.02 

41.04 

41.05 

41.06 

41.07 

41.09 

41.10 

41.11 

41.12 

41.13 

41.15 

41.16 

41.17 

41.18 

41.19 

41.21 

41.22 


41.24 

41.26 

41.27 

41.28 

41.29 

41.30 

41.32 

41.33 

41.34 

41.35 

41.36 

41.38 

41.39 

41.40 

41.41 

41.42 

41.44 

41.45 

41.46 

41.47 

41.48 

41.50 

41.51 

41.52 

41.53 

41.55 

41.56 

41.57 

41.58 

41.59 

41.61 

41.62 

41.63 

41.64 

41.65 

41.67 

41.68 

41.69 

41.70 

41.71 

41.73 

41.74 

41.75 

41.76 

41.77 

41.79 

41.80 

41.81 

41.82 

41.83 


102 


1751 

1752 

1753 

1754 

1755 

1756 

1757 

1758 

1759 

1760 

1761 

1762 

1763 

1764 

1765 

1766 

1767 

1768 

1769 

1770 

1771 

1772 

1773 

1774 

1775 

1776 

1777 

1778 

1779 

1780 

1781 

1782 

1783 

1784 

1785 

1786 

1787 

1788 

1789 

1790 

1791 

1792 

1793 

1794 

1795 

1796 

1797 

1798 

1799 

1800 


Roots. 


TABLE  OF  SQUARE  ROOTS. 

Roots. 


41.85 

41.86 

41.87 

41.88 

41.89 

41.90 

41.92 

41.93 

41.94 

41.95 

41.96 

41.98 

41.99 

42.00 

42.01 

42.02 

42.04 

42.05 

42.06 

42.07 

42.08 

42.10 

42.11 

42.12 

42.13 

42.14 

42.15 

42.17 

42.18 

42.19 

42.20 

42.21 

42.23 

42.24 

42.25 

42.26 

42.27 

42.28 

42.30 

42.31 

42.32 

42.33 

42.34 

42.36 

42.37 

42.38 

42.39 

42.40 

42.41 


42.43  1850 


Nos. 


1801 

1802 

1803 

1804 

1805 

1806 

1807 

1808 

1809 

1810 

1811 

1812 

1813 

1814 

1815 

1816 

1817 

1818 

1819 

1820 

1821 

1822 

1823 

1824 

1825 

1826 

1827 

1828 

1829 

1830 

1831 

1832 

1833 

1834 

1835 

1836 

1837 

1838 

1839 

1840 

1841 

1842 

1843 

1844 

1845 

1846 

1847 

1848 

1849 


Roots. 


42.44 

42.45 

42.46 

42.47 

42.49 

42.50 

42.51 

42.52 

42.53 

42.54 

42.56 

42.57 

42.58 

42.59 

42.60 

42.61 

42.63 

42.64 

42.65 

42.66 

42.67 

42.68 

42.70 

42.71 

42.72 

42.73 

42.74 

42.76 

42.77 

42.78 

42.79 

42.80 

42.81 

42.83 

42.84 

42.85 

42.86 

42.87 

42.88 

42.90 

42.91 

42.92 

42.93 

42.94 

42.95 

42.97 

42.98 

42.99 

43.00 

43.01 


Nos. 


1851 

1852 

1853 

1854 

1855 

1856 

1857 

1858 

1859 

1860 

1861 

1862 

1863 

1864 

1865 

1866 

1867 

1868 
1969 

1870 

1871 

1872 

1873 

1874 

1875 

1876 

1877 

1878 

1879 

1880 

1881 

1882 

1883 

1884 

1885 

1886 

1887 

1888 

1889 

1890 

1891 

1892 

1893 

1894 

1895 

1896 

1897 

1898 

1899 

1900 


43 

43. 

43 

43 

43 


02 

03 

05 

06 
07 


43.08 

43.09 

43.10 

43.12 

43.13 

43.14 

43.15 

43.16 

43.17 

43.19 

43.20 

43.21 

43.22 

43.23 

43.24 


43 

43 

43 

43 

43. 


26 

27 

28 

29 

30 


43.31 

43.32 

43.34 

43.35 

43.36 

43.37 

43.38 

43.39 

43.41 

43.42 

43.43 

43.44 

43.45 

43.46 

43.47 

43.49 

43.50 

43.51 

43.52 

43.53 

43.54 

43.55 
43.57 
43  58 
43.59 


Nos. 


1901 

1902 

1903 

1904 

1905 

1906 

1907 

1908 

1909 

1910 

1911 

1912 

1913 

1914 

1915 

1916 

1917 

1918 

1919 

1920 

1921 

1922 

1923 

1924 

1925 

1926 

1927 

1928 

1929 

1930 

1931 

1932 

1933 

1934 

1935 

1936 

1937 

1938 

1939 

1940 

1941 

1942 

1943 

1944 

1945 

1946 

1947 

1948 

1949 

1950 


Roots. 


43.60 

43.61 

43.62 
43  63 

43.65 

43.66 

43.67 

43.68 

43.69 

43.70 

43.71 

43.73 

43.74 

43.75 

43.76 

43.77 

43.78 

43.79 
43  81 

43.82 

43.83 

43.84 

43.85 

43.86 

43.87 

43.89 

43.90 

43.91 

43.92 

43.93 

43.94 

43.95 

43.97 

43.98 
43. 


.991 


44.00 

44.01 

44.02 

44.03 

44.05 

44.06 

44.07 

44.08 

44.09 

44.10 

44.11 

44.12 

44.14 

44.15 


44.162000 


1951 

1952 

1953 

1954 

1955 

1956 

1957 

1958 

1959 

1960 

1961 

1962 

1963 

1964 

1965 

1966 

1967 

1968 

1969 

1970 

1971 

1972 

1973 

1974 

1975 

1976 

1977 

1978 

1979 

1980 

1981 

1982 

1983 

1984 
985 


1986 

1987 

1988 

1989 

1990 

1991 

1992 

1993 

1994 

1995 

1996 

1997 

1998 

1999 


Roots. 


44.17 

44.18 

44.19 

44.20 

44.22 

47.23 

44.24 

44.25 

44.26 

44.27 

44.28 

44.29 

44.31 

44.32 

44.33 

44.34 

44.35 

44.36 

44.37 

44.38 

44.40 

44.41 

44.42 

44.43 

44.44 

44.45 

44.46 

44.47 

44.49 

44.50 

44.51 

44.52 

44.53 

44.54 

44.55 

44.56 

44.58 

44.59 

44.60 

44.61 

44.62 

44.63 

44.64 

44.65 

44.67 

44.68 

44.69 

44.70 

44.71 

44.72 


*- 


103 


BENDING-  MOMENTS  (FOOT  POUNDS.) 

For  Various  Loads  and  Lengths  of  Span,  assuming  Joists  Spaced  24  Inches  Center  to  Center. 


*- 


1 

22 

rH  CM 

CM  CO 

rH  LO 

CO  t> 

I>  00 

O CM 

LO  l> 

O LO 

] 

GOrH 

o CO 

00  O 

CM  rH 

O CO 

rH  rH 

rH  rH 

CM  Cl 

rH  CM 

oo  co 

rHCD 

t>00 

05  05 

CM  LO 

00  pH 

rHO 

_ 

rH  pH 

rH  CM 

CM  CO 

OO 

oo 

O o 

OO 

OO 

OO 

OO 

OO 

ph 

oo 

oo 

oo 

OO 

oo 

o o 

OO 

o o 

w 

CM 

10  o 

LO  o 

oo 

oo 

LO  O 

O LO 

O LO 

oo 

rH  CM 

CM  CO 

rtf  io 

CO  i> 

t>  00 

O CM 

LOt> 

O LO 

rH  pH 

rH  rH 

CM  CM 

LO 

CO  00 

O CO 

io  00 

050 

LO  rH 

00  rH 

O CO 

<25 

lo  O 

io  o 

rH  pH 

rH  rH 

CO  CM 

CM  00 

CO  05 

LO  CO 

00  00 

CM  E> 

CD  LO 

rH  CO 

I>  CM 

O CM 

LO  t> 

O LO 

rH  rH 

CM  CM 

corn 

LO  CO 

CO  t> 

05  rH 

CO  io 

00  CM 

rH 

rH  rH 

rH  CM 

10  O 

io  o 

OO 

OO 

LO  O 

O LO 

O LO 

OO 

00 

pH  CM 

CM  CO 

rtf  LO 

CO  t> 

l>  00 

O CM 

LOt> 

O LO 

CM  CO 

orH 

CM  O 

00  CO 

O rH 

pH  rH 

rH  rH 

CM  CM 

rH  pH 

CM  CM 

CO  rH 

rHLO 

CO  CO 

00  O 

CM  rH 

CO  o 

c_j 

rH 

rH  rH 

rH  CM 

w 

rH  IQ 

CO  00 

O CO 

LOGO 

050 

LO  rH 

00  rH 

O CO 

00  rH 

O co 

G5  rH 

CO  LO 

pH  00 

CM  CO 

CO  rH 

LO  co 

(X4 

o ^ 

00  pH 

00  CO 

COO 

rtf  l> 

CM  O 

00  CO 

^o 

rH  pH 

rH  CM 

CM  CO 

rtf  LO 

LO  io 

I>  05 

O CM 

rH  00 

PH 

pH  pH 

rH  rH 

| 2 

OO 

OO 

oo 

oo 

OO 

OO 

OO 

OO 

CO 

CO  00 

O CM 

coo 

rtf  00 

O CM 

oo 

oo 

OO 

<25  cm 

CO  o> 

io  CM 

00  rH 

00  rH 

rHO 

CO  CM 

00  o 

& 

pH 

pH 

pH  rH 

CM  CO 

COrtf 

rHLO 

CO  00 

05  rH 

CM  CO 

<E 

pH 

pH  rH 

r\ 

rHLO 

CO  00 

O CO 

LO  00 

050 

LO  rH 

00  rtf 

O CO 

U 

LO 

rH  CM 

O 00 

LO  rH 

t^CO 

rH  O 

CM  CO 

co  rH 

LO  CO 

a 

Ph 

00  rH 

rHCD 

CM  00 

CO  05 

CM  LO 

CO  O 

rH  00 

CM  O 

pH 

rH 

rH  pH 

CM  CM 

CO  oo 

rH  rH 

LOI> 

00  05 

rH  rtf 

L" 

0 

pH  rH 

a 

10  O 

LO  O 

OO 

oo 

LO  O 

O LO 

O'lO 

OO 

w 

rH 

CO  00 

CM  t> 

CO  LO 

rH  co 

l>CM 

OGM 

LO  t> 

O LO 

i>  05 

CM  rH 

05  rH 

OrH 

CO  05 

05  rH 

CO  LO 

00  CM 

rH 

rH  rH 

rH  CM 

CM  CO 

CO  CO 

rtf  CO 

i>  00 

05  CM 
pH 

rH  io 

CO  00 

Oco 

LO  00 

05  O 

LO  rH 

00  rH 

O co 

CO 

co  rH 

LO  CD 

05  rH 

CO  LO 

CO  00 

CM  00 

CO  05 

LO  CO 

CO  00 

O CM 

CD  rH 

LO  05 

rH  CO 

CM  CM 

CO  CO 

rH  LO 

rH 

rH  rH 

rH  CM 

CM  CM 

co  co 

rHLO 

C0I> 

00  o 

rH 

oo 

OO 

OO 

OO 

OO 

QO 

oo 

OO 

CM 

rH  CM 

o co 

rHO 

CO  CM 

O 00 

O O 

oo 

oo 

rH 

lOI> 

oo 

rtf  00 

pH  LO 

I>  00 

CO  LO 

rH  CO 

CM  O 

rH 

pH  rH 

CM  CM 

CM  CM 

SO  rH 

LO  CO 

I>  05 

rH  IQ 

CO  00 

OCO 

LO  00 

05  O 

LO  rH 

00  rH 

OCO 

pH 

IQ  O 

LO  O 

rH  rH 

rH  pH 

CO  CM 

CM  00 

CO  05 

LO  CO 

pH 

rH  CO 

i>o 

CM  LO 

00  rH 

CM  rH 

Oi> 

LO  CM 

O LO 

rH  rH 

rH  CM 

CM  CM 

CO  co 

rH  LO 

CO  t> 

LO  O 

LOO 

OO 

OO 

LO  O 

OLO 

o LO 

o o 

o 

L>  o 

CM  LO 

O LO 

O io 

r>o 

O CM 

LO  I> 

O LO 

pH 

CO  IO 

CO  t> 

O CM 

LO  I> 

CO  o 

LO  rH 

!>C0 

O (M 

pH  rH 

rH  rH 

rH  CM 

CM  CO 

CO  rH 

LO  CO 

c/2 

© 

OO 

OO 

OQ 

OO 

oo 

OO 

OO 

oo 

CO  rH 

LOCO 

00  O 

CM  rH 

LO  CO 

O LO 

O LO 

oo 

O M- 

a 

rH 

rH  rH 

rH  rH 

CM  CM 

CO  co 

rH  lo 

f. 

J 

IO  o 

LO  O 

OO 

OO 

LO  O 

O LO 

O LO 

QO 

rH  CM 

CM  CO 

rtf  LO 

CO  L> 

t>  00 

O CM 

LO  t> 

O lo 

o* 

CO 

1 

rH  rH 

rH  rH 

CM  CM 

104 


TIMBER  BEAMS  OR  JOISTS. 

Capacity  in  Bending  Moments  (Foot  Pounds)  for  1000  Pounds  Per  Square  Inch,  Fiber  Strain. 


*■ 


l 


03 

. . . 

32000 

36000 

40000 

44000 

48000 

56000 

64000 

72000 

80000 

96000 

o 

03 

. . . 

19444 

22222 

25000 

27778 

30556 

33333 

38889 

44444 

50000 

55556 

66667 

00 

rH 

13500 

15750 

18000 

20250 

22500 

24750 

27000 

31500 

36000 

' 40500 
45000 
54000 

05  I> 

^ 03  O 00 

CD  CO  05^ 

O CD  I> 

CO 

• 00  CD 

^ 03  Ol> 

LO  CO  00  ^ 

O LO  CD 

00  CD 

r*03Ol> 

LO  CO  00 

O LO  CD 

• 

• 00  O 

03  ^ CD  I> 

05  rH  00 

03  LO  03 

w 

rH 

rl  H rH  rH 

rH  03  03  03 

CO  CO  ^ 

O CO  ID 

00  O CO  LO 

00  O LO  O 

LO  O Q 

o 

LO  i— 1 L 

00  O CD  03 

00  ioi>o 

03  lo  O 

£ 

<M  00  00 

05  LO  O CD 

rH  t>  GO  O 

rH  03  LO 

CD  E>05 

O 03  ^ LO 

I>  00  rH  LO 

00  rH  I> 

rH  rH  H rl 

rH  rH  03  03 

03  COCO 

r^CDl> 

00  05  O |H 

03  CO  CD  00 

O 03  I> 

— u 

^ O CD 

03  00  LO  rH 

t>C0  LOI> 

O 03  CD 

^ 00  rH 

LO  00  03  CD 

05  CO  O t> 

LO  03  CD 

c 

ID  CD  00 

05  O 03  CO 

CD  05  rH 

I>  03 

w 

rH  rH  rH 

rH  H H 03 

03  03  CO 

OOO 

oooo 

OOOO 

OOO 

03 

H"* 

OOO 

OOO 

oooo 

oooo 

oooo 

oooo 

888 

^ ID  CD 

t>  00  05  O 

rH  03  CO 

00  o ^ 

f , 

rH 

H H rH  H 

rH  03  03 

00  03  I> 

rH  CD  O ^ 

05  CO  03  rH 

005 

I>  I>  CD 

CD  LO  LO  ^ 

CO  CO  03  rH 

O 00  • 

w 

2 

I>  rt<  I—I 

00  LO  03  05 

CD  CO  I>  rH 

LO  00 

03  CO 

LO  CD  CO 

1>  00  05  rH 

03  CO  * 

rH 

rH  rH 

O CO  LO 

00  O CO  LO 

GO  O LO  o 

LO 

LO  rH  I> 

CO  O CD  03 

00  LO  I>  CD 

03  • • 

05 

03  00  CO 

05  LO  O CD 

HI>C0O 

rH 

03  03  CO 

CO  ^ LO  LO 

CD  CD  l>  05 

o • 

rH 

00  03  l> 

rH  CO  O ^ 

05  CO  03  rH 

I>  03  CD 

rH  LO  O ^ 

00  CO  03  rH 

00 

I>03  CD 

rl  LO  O ^ 

00  CO  03  rH 

rH  03  03 

CO  CO  ^ 

LO  CD  I> 

rH  rH  03 

03  03  03  CO 

CO  CO 

CD  O ^ 

00  03  CD  O 

t^OOCO 

D- 

CO  I>  O 

CO  I>  O 

I>  O L>  . 

rH  rH  03 

03  03  CO  CO 

CO^Tjl 

OOO 

OOOO 

oo  . . 

CD 

CD 

O LO  o 

iO  Q LO  O 

LO  O 

O 03  LO 

!>  O 03  lo 

I>0  . . 

rH  rH  rH 

rH  03  03  03 

03  CO 

g 

X 

X X 

X 

o 

cq  <M  n 

CO  ^ ^ LO 

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• 107 


OSBORN'S  CODE  FOR  BRIDGE  RIVETS, 


ADOPTED  AS  STAN 

Union  Bridge  Co., 

Union  Bridge  Co.,  - 
Edge  Moor  Bridge  Works, 

Keystone  Bridge  Co. 

Shiffler  Bridge  Works, 

Pittsburgh  Bridge  Co., 

Riter  & Conley, 

Iron  City  Bridge  Works, 

Phoenix  Bridge  Works, 

New  Jersey  Steel  and  Iron  Co. 

King  Iron  Bridge  and  Manuf.  Co., 
Variety  Iron  Works,  - 
Mt.  Vernon  Bridge  Co.,  - 
Wrought  Iron  Bridge  Co., 

Massillon  Bridge  Co., 

Columbus  Bridge  Co., 

Penn  Bridge  Co.,  - - 

Groton  Bridge  and  Manufacturing  Co., 
California  Bridge  Co., 

Atlanta  Bridge  and  Axle  Works, 
Chicago  Forge  and  Bolt  Works, 
Shailer  & Schniglau, 

Smith  Bridge  Co. 

Decatur  Iron  Bridge  and  Const’ n Co  , 
Levering  & Garrigues, 

G.  Bouscaren,  Consulting  Engineer, 

S.  Diescher,  “ “ 

Morison  & Corthell,  “ “ 

John  W.  Berry,  Bridge  Builder,  - 
Baltimore  & Ohio  Railroad  Co., 
Richmond  & Danville  Railway  Co., 
Wheeling  & Lake  Erie  Railway, 
Louisville  Southern  Railway, 

Lake  Shore  & Mich.  Southern  Ry.  Co., 
New  York  Central  Railway  Co., 


DARD  BY 

Athens,  Pa. 
Buffalo,  N.  Y. 
Edge  Moor,  Del. 
Pittsburgh,  Pa. 


Chartiers,  Pa. 
Phoenixville,  Pa. 
Trenton,  N.  J. 
Cleveland,  Ohio. 

a 

Mt.  Vernon,  Ohio. 
Canton,  Ohio. 
Massillon,  Ohio. 
Columbus,  Ohio. 
Beaver  Falls,  Pa. 
Groton,  N.  Y. 

San  Francisco,  Cal. 
Atlanta,  Ga. 

Chicago,  111. 

<< 

Toledo,  Ohio. 

Decatur,  Ala. 
Philadelphia,  Pa. 
Cincinnati,  Ohio. 
Pittsburgh,  Pa. 

New  York  and  Chicago. 
Pittston,  Pa 
Baltimore,  Md. 
Washington,  D.  C. 
Toledo,  Ohio. 
Louisville,  Ky. 
Cleveland,  Ohio. 

New  York  City. 


108 


-* 


CONVENTIONAL  SIG-NS  FOR  BRIDG-E  RIVETS. 

Shop.  Field. 


Two  Full  Heads. 


Countersunk  Inside  and  Chipped. 


Countersunk  Outside  and  Chipped. 


Countersunk  both  Sides  and  Chipped. 


o • 


Flattened  to  y%"  high  or  Counter- 
sunk and  not  chipped. 


Flattened  to  high. 


Flattened  to  */<&"  high. 


Inside.  Outside.  Both  Sides 

®OQ 

®0(D 

(DOG) 


The  foundation  of  the  above  system  is  the  diagonal  cross  to 
represent  a countersink,  the  blackened  circle  for  a field  rivet,  and 
the  vertical  stroke  to  indicate  a flattened  head.  The  position  of 
the  cross  with  respect  to  the  circle  (inside,  outside  or  both  sides) 
indicates  the  location  of  the  countersink,  and  the  number  and 
position  of  the  vertical  strokes  indicate  the  height  and  position 
of  the  flattened  heads. 

Any  combination  of  field,  countersunk  and  flattened  head 
rivets  liable  to  occur  may  be  readily  indicated  by  the  proper 
combination  of  the  above  signs. 


a.- 


UNIVERSITY  OF  ILLINOIS-URBANA 
620.80S12  C002 

TABLES  OF  MOMENTS  OF  INERTIA  AND  SQUARES 


3 0112  007890327 


